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Finding the Fourth Proportional to 728.24, 1,090.42 and 574.46

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Solution

The fourth proportional to 728.24, 1,090.42 and 574.46 is: 860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.24 : 1,090.42 = 574.46 : x
  2. Step 2: Convert to fraction form
    728.24/1,090.42 = 574.46/x
  3. Step 3: Cross multiply
    728.24x = 1,090.42 × 574.46
  4. Step 4: Simplify right side
    728.24x = 626,402.67
  5. Step 5: Solve for x
    x = 626,402.67/728.24
  6. Step 6: Final answer
    x = 860.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.