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Finding the Fourth Proportional to 914.55, 1,282.80 and 914.55

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Solution

The fourth proportional to 914.55, 1,282.80 and 914.55 is: 1,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.55 : 1,282.80 = 914.55 : x
  2. Step 2: Convert to fraction form
    914.55/1,282.80 = 914.55/x
  3. Step 3: Cross multiply
    914.55x = 1,282.80 × 914.55
  4. Step 4: Simplify right side
    914.55x = 1,173,184.74
  5. Step 5: Solve for x
    x = 1,173,184.74/914.55
  6. Step 6: Final answer
    x = 1,282.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.