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Finding the Fourth Proportional to 1,086.29, 1,630.12 and 624.97

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Solution

The fourth proportional to 1,086.29, 1,630.12 and 624.97 is: 937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.29 : 1,630.12 = 624.97 : x
  2. Step 2: Convert to fraction form
    1,086.29/1,630.12 = 624.97/x
  3. Step 3: Cross multiply
    1,086.29x = 1,630.12 × 624.97
  4. Step 4: Simplify right side
    1,086.29x = 1,018,768.90
  5. Step 5: Solve for x
    x = 1,018,768.90/1,086.29
  6. Step 6: Final answer
    x = 937.84

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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.