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Finding the Fourth Proportional to 825.64, 1,139.14 and 476.20

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Solution

The fourth proportional to 825.64, 1,139.14 and 476.20 is: 657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.64 : 1,139.14 = 476.20 : x
  2. Step 2: Convert to fraction form
    825.64/1,139.14 = 476.20/x
  3. Step 3: Cross multiply
    825.64x = 1,139.14 × 476.20
  4. Step 4: Simplify right side
    825.64x = 542,458.47
  5. Step 5: Solve for x
    x = 542,458.47/825.64
  6. Step 6: Final answer
    x = 657.02

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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.