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Finding the Fourth Proportional to 728.76, 1,090.98 and 605.92

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Solution

The fourth proportional to 728.76, 1,090.98 and 605.92 is: 907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.76 : 1,090.98 = 605.92 : x
  2. Step 2: Convert to fraction form
    728.76/1,090.98 = 605.92/x
  3. Step 3: Cross multiply
    728.76x = 1,090.98 × 605.92
  4. Step 4: Simplify right side
    728.76x = 661,046.60
  5. Step 5: Solve for x
    x = 661,046.60/728.76
  6. Step 6: Final answer
    x = 907.08

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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.