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Finding the Fourth Proportional to 658.60, 986.10 and 513.40

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Solution

The fourth proportional to 658.60, 986.10 and 513.40 is: 768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.60 : 986.10 = 513.40 : x
  2. Step 2: Convert to fraction form
    658.60/986.10 = 513.40/x
  3. Step 3: Cross multiply
    658.60x = 986.10 × 513.40
  4. Step 4: Simplify right side
    658.60x = 506,263.74
  5. Step 5: Solve for x
    x = 506,263.74/658.60
  6. Step 6: Final answer
    x = 768.70

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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.