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Finding the Fourth Proportional to 737.15, 1,102.68 and 654.93

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Solution

The fourth proportional to 737.15, 1,102.68 and 654.93 is: 979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.15 : 1,102.68 = 654.93 : x
  2. Step 2: Convert to fraction form
    737.15/1,102.68 = 654.93/x
  3. Step 3: Cross multiply
    737.15x = 1,102.68 × 654.93
  4. Step 4: Simplify right side
    737.15x = 722,178.21
  5. Step 5: Solve for x
    x = 722,178.21/737.15
  6. Step 6: Final answer
    x = 979.70

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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.