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Finding the Fourth Proportional to 866.18, 1,301.76 and 720.83

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Solution

The fourth proportional to 866.18, 1,301.76 and 720.83 is: 1,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.18 : 1,301.76 = 720.83 : x
  2. Step 2: Convert to fraction form
    866.18/1,301.76 = 720.83/x
  3. Step 3: Cross multiply
    866.18x = 1,301.76 × 720.83
  4. Step 4: Simplify right side
    866.18x = 938,347.66
  5. Step 5: Solve for x
    x = 938,347.66/866.18
  6. Step 6: Final answer
    x = 1,083.32

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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.