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Finding the Fourth Proportional to 727.76, 1,090.42 and 574.68

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Solution

The fourth proportional to 727.76, 1,090.42 and 574.68 is: 861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.76 : 1,090.42 = 574.68 : x
  2. Step 2: Convert to fraction form
    727.76/1,090.42 = 574.68/x
  3. Step 3: Cross multiply
    727.76x = 1,090.42 × 574.68
  4. Step 4: Simplify right side
    727.76x = 626,642.57
  5. Step 5: Solve for x
    x = 626,642.57/727.76
  6. Step 6: Final answer
    x = 861.06

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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.