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Finding the Fourth Proportional to 865.18, 1,300.26 and 719.83

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Solution

The fourth proportional to 865.18, 1,300.26 and 719.83 is: 1,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.18 : 1,300.26 = 719.83 : x
  2. Step 2: Convert to fraction form
    865.18/1,300.26 = 719.83/x
  3. Step 3: Cross multiply
    865.18x = 1,300.26 × 719.83
  4. Step 4: Simplify right side
    865.18x = 935,966.16
  5. Step 5: Solve for x
    x = 935,966.16/865.18
  6. Step 6: Final answer
    x = 1,081.82

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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.