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Finding the Fourth Proportional to 782.56, 1,080.12 and 534.49

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Solution

The fourth proportional to 782.56, 1,080.12 and 534.49 is: 737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.56 : 1,080.12 = 534.49 : x
  2. Step 2: Convert to fraction form
    782.56/1,080.12 = 534.49/x
  3. Step 3: Cross multiply
    782.56x = 1,080.12 × 534.49
  4. Step 4: Simplify right side
    782.56x = 577,313.34
  5. Step 5: Solve for x
    x = 577,313.34/782.56
  6. Step 6: Final answer
    x = 737.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.