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Finding the Fourth Proportional to 756.86, 1,129.53 and 737.42

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Solution

The fourth proportional to 756.86, 1,129.53 and 737.42 is: 1,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.86 : 1,129.53 = 737.42 : x
  2. Step 2: Convert to fraction form
    756.86/1,129.53 = 737.42/x
  3. Step 3: Cross multiply
    756.86x = 1,129.53 × 737.42
  4. Step 4: Simplify right side
    756.86x = 832,932.36
  5. Step 5: Solve for x
    x = 832,932.36/756.86
  6. Step 6: Final answer
    x = 1,100.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.