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Finding the Fourth Proportional to 758.48, 1,132.18 and 650.96

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Solution

The fourth proportional to 758.48, 1,132.18 and 650.96 is: 971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.48 : 1,132.18 = 650.96 : x
  2. Step 2: Convert to fraction form
    758.48/1,132.18 = 650.96/x
  3. Step 3: Cross multiply
    758.48x = 1,132.18 × 650.96
  4. Step 4: Simplify right side
    758.48x = 737,003.89
  5. Step 5: Solve for x
    x = 737,003.89/758.48
  6. Step 6: Final answer
    x = 971.69

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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.