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Finding the Fourth Proportional to 537.66, 801.09 and 502.30

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Solution

The fourth proportional to 537.66, 801.09 and 502.30 is: 748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.66 : 801.09 = 502.30 : x
  2. Step 2: Convert to fraction form
    537.66/801.09 = 502.30/x
  3. Step 3: Cross multiply
    537.66x = 801.09 × 502.30
  4. Step 4: Simplify right side
    537.66x = 402,388.51
  5. Step 5: Solve for x
    x = 402,388.51/537.66
  6. Step 6: Final answer
    x = 748.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.