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Finding the Fourth Proportional to 758.70, 1,128.60 and 737.64

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Solution

The fourth proportional to 758.70, 1,128.60 and 737.64 is: 1,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.70 : 1,128.60 = 737.64 : x
  2. Step 2: Convert to fraction form
    758.70/1,128.60 = 737.64/x
  3. Step 3: Cross multiply
    758.70x = 1,128.60 × 737.64
  4. Step 4: Simplify right side
    758.70x = 832,500.50
  5. Step 5: Solve for x
    x = 832,500.50/758.70
  6. Step 6: Final answer
    x = 1,097.27

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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.