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Finding the Fourth Proportional to 864.19, 1,296.29 and 719.61

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Solution

The fourth proportional to 864.19, 1,296.29 and 719.61 is: 1,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.19 : 1,296.29 = 719.61 : x
  2. Step 2: Convert to fraction form
    864.19/1,296.29 = 719.61/x
  3. Step 3: Cross multiply
    864.19x = 1,296.29 × 719.61
  4. Step 4: Simplify right side
    864.19x = 932,823.25
  5. Step 5: Solve for x
    x = 932,823.25/864.19
  6. Step 6: Final answer
    x = 1,079.42

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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.