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Finding the Fourth Proportional to 728.90, 1,090.72 and 627.41

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Solution

The fourth proportional to 728.90, 1,090.72 and 627.41 is: 938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.90 : 1,090.72 = 627.41 : x
  2. Step 2: Convert to fraction form
    728.90/1,090.72 = 627.41/x
  3. Step 3: Cross multiply
    728.90x = 1,090.72 × 627.41
  4. Step 4: Simplify right side
    728.90x = 684,328.64
  5. Step 5: Solve for x
    x = 684,328.64/728.90
  6. Step 6: Final answer
    x = 938.85

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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.