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Finding the Fourth Proportional to 932.80, 1,287.60 and 767.20

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Solution

The fourth proportional to 932.80, 1,287.60 and 767.20 is: 1,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.80 : 1,287.60 = 767.20 : x
  2. Step 2: Convert to fraction form
    932.80/1,287.60 = 767.20/x
  3. Step 3: Cross multiply
    932.80x = 1,287.60 × 767.20
  4. Step 4: Simplify right side
    932.80x = 987,846.72
  5. Step 5: Solve for x
    x = 987,846.72/932.80
  6. Step 6: Final answer
    x = 1,059.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.