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Finding the Fourth Proportional to 509.14, 763.47 and 431.86

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Solution

The fourth proportional to 509.14, 763.47 and 431.86 is: 647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.14 : 763.47 = 431.86 : x
  2. Step 2: Convert to fraction form
    509.14/763.47 = 431.86/x
  3. Step 3: Cross multiply
    509.14x = 763.47 × 431.86
  4. Step 4: Simplify right side
    509.14x = 329,712.15
  5. Step 5: Solve for x
    x = 329,712.15/509.14
  6. Step 6: Final answer
    x = 647.59

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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.