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Finding the Fourth Proportional to 508.91, 762.12 and 459.60

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Solution

The fourth proportional to 508.91, 762.12 and 459.60 is: 688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.91 : 762.12 = 459.60 : x
  2. Step 2: Convert to fraction form
    508.91/762.12 = 459.60/x
  3. Step 3: Cross multiply
    508.91x = 762.12 × 459.60
  4. Step 4: Simplify right side
    508.91x = 350,273.21
  5. Step 5: Solve for x
    x = 350,273.21/508.91
  6. Step 6: Final answer
    x = 688.28

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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.