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Finding the Fourth Proportional to 1,612.69, 2,225.55 and 904.51

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Solution

The fourth proportional to 1,612.69, 2,225.55 and 904.51 is: 1,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.69 : 2,225.55 = 904.51 : x
  2. Step 2: Convert to fraction form
    1,612.69/2,225.55 = 904.51/x
  3. Step 3: Cross multiply
    1,612.69x = 2,225.55 × 904.51
  4. Step 4: Simplify right side
    1,612.69x = 2,013,032.23
  5. Step 5: Solve for x
    x = 2,013,032.23/1,612.69
  6. Step 6: Final answer
    x = 1,248.25

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Half scale
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Double scale
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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.