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Finding the Fourth Proportional to 1,092.50, 1,507.92 and 627.02

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Solution

The fourth proportional to 1,092.50, 1,507.92 and 627.02 is: 865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.50 : 1,507.92 = 627.02 : x
  2. Step 2: Convert to fraction form
    1,092.50/1,507.92 = 627.02/x
  3. Step 3: Cross multiply
    1,092.50x = 1,507.92 × 627.02
  4. Step 4: Simplify right side
    1,092.50x = 945,496.00
  5. Step 5: Solve for x
    x = 945,496.00/1,092.50
  6. Step 6: Final answer
    x = 865.44

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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.