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Finding the Fourth Proportional to 508.20, 761.61 and 457.62

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Solution

The fourth proportional to 508.20, 761.61 and 457.62 is: 685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.20 : 761.61 = 457.62 : x
  2. Step 2: Convert to fraction form
    508.20/761.61 = 457.62/x
  3. Step 3: Cross multiply
    508.20x = 761.61 × 457.62
  4. Step 4: Simplify right side
    508.20x = 348,527.97
  5. Step 5: Solve for x
    x = 348,527.97/508.20
  6. Step 6: Final answer
    x = 685.81

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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.