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Finding the Fourth Proportional to 765.16, 1,147.26 and 650.40

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Solution

The fourth proportional to 765.16, 1,147.26 and 650.40 is: 975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.16 : 1,147.26 = 650.40 : x
  2. Step 2: Convert to fraction form
    765.16/1,147.26 = 650.40/x
  3. Step 3: Cross multiply
    765.16x = 1,147.26 × 650.40
  4. Step 4: Simplify right side
    765.16x = 746,177.90
  5. Step 5: Solve for x
    x = 746,177.90/765.16
  6. Step 6: Final answer
    x = 975.19

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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.