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Finding the Fourth Proportional to 658.30, 908.13 and 561.10

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Solution

The fourth proportional to 658.30, 908.13 and 561.10 is: 774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.30 : 908.13 = 561.10 : x
  2. Step 2: Convert to fraction form
    658.30/908.13 = 561.10/x
  3. Step 3: Cross multiply
    658.30x = 908.13 × 561.10
  4. Step 4: Simplify right side
    658.30x = 509,551.74
  5. Step 5: Solve for x
    x = 509,551.74/658.30
  6. Step 6: Final answer
    x = 774.04

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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.