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Finding the Fourth Proportional to 658.17, 907.76 and 409.03

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Solution

The fourth proportional to 658.17, 907.76 and 409.03 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.17 : 907.76 = 409.03 : x
  2. Step 2: Convert to fraction form
    658.17/907.76 = 409.03/x
  3. Step 3: Cross multiply
    658.17x = 907.76 × 409.03
  4. Step 4: Simplify right side
    658.17x = 371,299.83
  5. Step 5: Solve for x
    x = 371,299.83/658.17
  6. Step 6: Final answer
    x = 564.14

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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.