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Finding the Fourth Proportional to 1,132.71, 1,563.32 and 635.55

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Solution

The fourth proportional to 1,132.71, 1,563.32 and 635.55 is: 877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.71 : 1,563.32 = 635.55 : x
  2. Step 2: Convert to fraction form
    1,132.71/1,563.32 = 635.55/x
  3. Step 3: Cross multiply
    1,132.71x = 1,563.32 × 635.55
  4. Step 4: Simplify right side
    1,132.71x = 993,564.85
  5. Step 5: Solve for x
    x = 993,564.85/1,132.71
  6. Step 6: Final answer
    x = 877.16

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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.