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Finding the Fourth Proportional to 508.64, 762.14 and 460.04

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Solution

The fourth proportional to 508.64, 762.14 and 460.04 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.64 : 762.14 = 460.04 : x
  2. Step 2: Convert to fraction form
    508.64/762.14 = 460.04/x
  3. Step 3: Cross multiply
    508.64x = 762.14 × 460.04
  4. Step 4: Simplify right side
    508.64x = 350,614.89
  5. Step 5: Solve for x
    x = 350,614.89/508.64
  6. Step 6: Final answer
    x = 689.32

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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.