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Finding the Fourth Proportional to 507.97, 763.45 and 421.86

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Solution

The fourth proportional to 507.97, 763.45 and 421.86 is: 634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.97 : 763.45 = 421.86 : x
  2. Step 2: Convert to fraction form
    507.97/763.45 = 421.86/x
  3. Step 3: Cross multiply
    507.97x = 763.45 × 421.86
  4. Step 4: Simplify right side
    507.97x = 322,069.02
  5. Step 5: Solve for x
    x = 322,069.02/507.97
  6. Step 6: Final answer
    x = 634.03

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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.