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Finding the Fourth Proportional to 934.56, 1,287.60 and 847.20

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Solution

The fourth proportional to 934.56, 1,287.60 and 847.20 is: 1,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.56 : 1,287.60 = 847.20 : x
  2. Step 2: Convert to fraction form
    934.56/1,287.60 = 847.20/x
  3. Step 3: Cross multiply
    934.56x = 1,287.60 × 847.20
  4. Step 4: Simplify right side
    934.56x = 1,090,854.72
  5. Step 5: Solve for x
    x = 1,090,854.72/934.56
  6. Step 6: Final answer
    x = 1,167.24

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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.