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Finding the Fourth Proportional to 553.53, 763.41 and 404.16

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Solution

The fourth proportional to 553.53, 763.41 and 404.16 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.53 : 763.41 = 404.16 : x
  2. Step 2: Convert to fraction form
    553.53/763.41 = 404.16/x
  3. Step 3: Cross multiply
    553.53x = 763.41 × 404.16
  4. Step 4: Simplify right side
    553.53x = 308,535.97
  5. Step 5: Solve for x
    x = 308,535.97/553.53
  6. Step 6: Final answer
    x = 557.40

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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.