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Finding the Fourth Proportional to 917.44, 1,372.95 and 864.14

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Solution

The fourth proportional to 917.44, 1,372.95 and 864.14 is: 1,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.44 : 1,372.95 = 864.14 : x
  2. Step 2: Convert to fraction form
    917.44/1,372.95 = 864.14/x
  3. Step 3: Cross multiply
    917.44x = 1,372.95 × 864.14
  4. Step 4: Simplify right side
    917.44x = 1,186,414.15
  5. Step 5: Solve for x
    x = 1,186,414.15/917.44
  6. Step 6: Final answer
    x = 1,293.18

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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.