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Finding the Fourth Proportional to 658.10, 986.47 and 427.13

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Solution

The fourth proportional to 658.10, 986.47 and 427.13 is: 640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.10 : 986.47 = 427.13 : x
  2. Step 2: Convert to fraction form
    658.10/986.47 = 427.13/x
  3. Step 3: Cross multiply
    658.10x = 986.47 × 427.13
  4. Step 4: Simplify right side
    658.10x = 421,350.93
  5. Step 5: Solve for x
    x = 421,350.93/658.10
  6. Step 6: Final answer
    x = 640.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.