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Finding the Fourth Proportional to 1,612.75, 2,225.64 and 914.17

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Solution

The fourth proportional to 1,612.75, 2,225.64 and 914.17 is: 1,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.75 : 2,225.64 = 914.17 : x
  2. Step 2: Convert to fraction form
    1,612.75/2,225.64 = 914.17/x
  3. Step 3: Cross multiply
    1,612.75x = 2,225.64 × 914.17
  4. Step 4: Simplify right side
    1,612.75x = 2,034,613.32
  5. Step 5: Solve for x
    x = 2,034,613.32/1,612.75
  6. Step 6: Final answer
    x = 1,261.58

Related Problems

Find fourth proportional to 806.38, 1,112.82 and 457.09
Half scale
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Double scale
Find fourth proportional to 1,613.75, 2,227.02 and 915.17
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.