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Finding the Fourth Proportional to 501.09, 752.72 and 424.21

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Solution

The fourth proportional to 501.09, 752.72 and 424.21 is: 637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.09 : 752.72 = 424.21 : x
  2. Step 2: Convert to fraction form
    501.09/752.72 = 424.21/x
  3. Step 3: Cross multiply
    501.09x = 752.72 × 424.21
  4. Step 4: Simplify right side
    501.09x = 319,311.35
  5. Step 5: Solve for x
    x = 319,311.35/501.09
  6. Step 6: Final answer
    x = 637.23

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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.