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Finding the Fourth Proportional to 553.89, 763.97 and 476.13

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Solution

The fourth proportional to 553.89, 763.97 and 476.13 is: 656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.89 : 763.97 = 476.13 : x
  2. Step 2: Convert to fraction form
    553.89/763.97 = 476.13/x
  3. Step 3: Cross multiply
    553.89x = 763.97 × 476.13
  4. Step 4: Simplify right side
    553.89x = 363,746.41
  5. Step 5: Solve for x
    x = 363,746.41/553.89
  6. Step 6: Final answer
    x = 656.72

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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.