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Finding the Fourth Proportional to 1,132.35, 1,562.64 and 634.98

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Solution

The fourth proportional to 1,132.35, 1,562.64 and 634.98 is: 876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.35 : 1,562.64 = 634.98 : x
  2. Step 2: Convert to fraction form
    1,132.35/1,562.64 = 634.98/x
  3. Step 3: Cross multiply
    1,132.35x = 1,562.64 × 634.98
  4. Step 4: Simplify right side
    1,132.35x = 992,245.15
  5. Step 5: Solve for x
    x = 992,245.15/1,132.35
  6. Step 6: Final answer
    x = 876.27

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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.