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Finding the Fourth Proportional to 864.55, 1,297.19 and 691.03

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Solution

The fourth proportional to 864.55, 1,297.19 and 691.03 is: 1,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.55 : 1,297.19 = 691.03 : x
  2. Step 2: Convert to fraction form
    864.55/1,297.19 = 691.03/x
  3. Step 3: Cross multiply
    864.55x = 1,297.19 × 691.03
  4. Step 4: Simplify right side
    864.55x = 896,397.21
  5. Step 5: Solve for x
    x = 896,397.21/864.55
  6. Step 6: Final answer
    x = 1,036.84

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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.