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Finding the Fourth Proportional to 658.10, 907.71 and 425.18

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Solution

The fourth proportional to 658.10, 907.71 and 425.18 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.10 : 907.71 = 425.18 : x
  2. Step 2: Convert to fraction form
    658.10/907.71 = 425.18/x
  3. Step 3: Cross multiply
    658.10x = 907.71 × 425.18
  4. Step 4: Simplify right side
    658.10x = 385,940.14
  5. Step 5: Solve for x
    x = 385,940.14/658.10
  6. Step 6: Final answer
    x = 586.45

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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.