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Finding the Fourth Proportional to 553.27, 763.48 and 317.20

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Solution

The fourth proportional to 553.27, 763.48 and 317.20 is: 437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.27 : 763.48 = 317.20 : x
  2. Step 2: Convert to fraction form
    553.27/763.48 = 317.20/x
  3. Step 3: Cross multiply
    553.27x = 763.48 × 317.20
  4. Step 4: Simplify right side
    553.27x = 242,175.86
  5. Step 5: Solve for x
    x = 242,175.86/553.27
  6. Step 6: Final answer
    x = 437.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.