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Finding the Fourth Proportional to 784.17, 1,175.18 and 691.29

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Solution

The fourth proportional to 784.17, 1,175.18 and 691.29 is: 1,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.17 : 1,175.18 = 691.29 : x
  2. Step 2: Convert to fraction form
    784.17/1,175.18 = 691.29/x
  3. Step 3: Cross multiply
    784.17x = 1,175.18 × 691.29
  4. Step 4: Simplify right side
    784.17x = 812,386.73
  5. Step 5: Solve for x
    x = 812,386.73/784.17
  6. Step 6: Final answer
    x = 1,035.98

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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.