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Finding the Fourth Proportional to 658.54, 986.12 and 639.07

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Solution

The fourth proportional to 658.54, 986.12 and 639.07 is: 956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.54 : 986.12 = 639.07 : x
  2. Step 2: Convert to fraction form
    658.54/986.12 = 639.07/x
  3. Step 3: Cross multiply
    658.54x = 986.12 × 639.07
  4. Step 4: Simplify right side
    658.54x = 630,199.71
  5. Step 5: Solve for x
    x = 630,199.71/658.54
  6. Step 6: Final answer
    x = 956.96

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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.