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Finding the Fourth Proportional to 553.62, 765.08 and 414.20

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Solution

The fourth proportional to 553.62, 765.08 and 414.20 is: 572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.62 : 765.08 = 414.20 : x
  2. Step 2: Convert to fraction form
    553.62/765.08 = 414.20/x
  3. Step 3: Cross multiply
    553.62x = 765.08 × 414.20
  4. Step 4: Simplify right side
    553.62x = 316,896.14
  5. Step 5: Solve for x
    x = 316,896.14/553.62
  6. Step 6: Final answer
    x = 572.41

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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.