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Finding the Fourth Proportional to 508.56, 763.64 and 317.04

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Solution

The fourth proportional to 508.56, 763.64 and 317.04 is: 476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.56 : 763.64 = 317.04 : x
  2. Step 2: Convert to fraction form
    508.56/763.64 = 317.04/x
  3. Step 3: Cross multiply
    508.56x = 763.64 × 317.04
  4. Step 4: Simplify right side
    508.56x = 242,104.43
  5. Step 5: Solve for x
    x = 242,104.43/508.56
  6. Step 6: Final answer
    x = 476.06

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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.