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Finding the Fourth Proportional to 512.40, 763.68 and 501.42

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Solution

The fourth proportional to 512.40, 763.68 and 501.42 is: 747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.40 : 763.68 = 501.42 : x
  2. Step 2: Convert to fraction form
    512.40/763.68 = 501.42/x
  3. Step 3: Cross multiply
    512.40x = 763.68 × 501.42
  4. Step 4: Simplify right side
    512.40x = 382,924.43
  5. Step 5: Solve for x
    x = 382,924.43/512.40
  6. Step 6: Final answer
    x = 747.32

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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.