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Finding the Fourth Proportional to 917.01, 1,373.65 and 732.23

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Solution

The fourth proportional to 917.01, 1,373.65 and 732.23 is: 1,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.01 : 1,373.65 = 732.23 : x
  2. Step 2: Convert to fraction form
    917.01/1,373.65 = 732.23/x
  3. Step 3: Cross multiply
    917.01x = 1,373.65 × 732.23
  4. Step 4: Simplify right side
    917.01x = 1,005,820.87
  5. Step 5: Solve for x
    x = 1,005,820.87/917.01
  6. Step 6: Final answer
    x = 1,096.85

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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.