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Finding the Fourth Proportional to 726.68, 1,090.14 and 437.78

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Solution

The fourth proportional to 726.68, 1,090.14 and 437.78 is: 656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.68 : 1,090.14 = 437.78 : x
  2. Step 2: Convert to fraction form
    726.68/1,090.14 = 437.78/x
  3. Step 3: Cross multiply
    726.68x = 1,090.14 × 437.78
  4. Step 4: Simplify right side
    726.68x = 477,241.49
  5. Step 5: Solve for x
    x = 477,241.49/726.68
  6. Step 6: Final answer
    x = 656.74

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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.