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Finding the Fourth Proportional to 501.71, 752.29 and 385.87

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Solution

The fourth proportional to 501.71, 752.29 and 385.87 is: 578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.71 : 752.29 = 385.87 : x
  2. Step 2: Convert to fraction form
    501.71/752.29 = 385.87/x
  3. Step 3: Cross multiply
    501.71x = 752.29 × 385.87
  4. Step 4: Simplify right side
    501.71x = 290,286.14
  5. Step 5: Solve for x
    x = 290,286.14/501.71
  6. Step 6: Final answer
    x = 578.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.