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Finding the Fourth Proportional to 783.13, 1,080.25 and 517.58

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Solution

The fourth proportional to 783.13, 1,080.25 and 517.58 is: 713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.13 : 1,080.25 = 517.58 : x
  2. Step 2: Convert to fraction form
    783.13/1,080.25 = 517.58/x
  3. Step 3: Cross multiply
    783.13x = 1,080.25 × 517.58
  4. Step 4: Simplify right side
    783.13x = 559,115.80
  5. Step 5: Solve for x
    x = 559,115.80/783.13
  6. Step 6: Final answer
    x = 713.95

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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.