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Finding the Fourth Proportional to 784.59, 1,182.77 and 731.74

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Solution

The fourth proportional to 784.59, 1,182.77 and 731.74 is: 1,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.59 : 1,182.77 = 731.74 : x
  2. Step 2: Convert to fraction form
    784.59/1,182.77 = 731.74/x
  3. Step 3: Cross multiply
    784.59x = 1,182.77 × 731.74
  4. Step 4: Simplify right side
    784.59x = 865,480.12
  5. Step 5: Solve for x
    x = 865,480.12/784.59
  6. Step 6: Final answer
    x = 1,103.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.