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Finding the Fourth Proportional to 825.76, 1,139.42 and 476.38

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Solution

The fourth proportional to 825.76, 1,139.42 and 476.38 is: 657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.76 : 1,139.42 = 476.38 : x
  2. Step 2: Convert to fraction form
    825.76/1,139.42 = 476.38/x
  3. Step 3: Cross multiply
    825.76x = 1,139.42 × 476.38
  4. Step 4: Simplify right side
    825.76x = 542,788.82
  5. Step 5: Solve for x
    x = 542,788.82/825.76
  6. Step 6: Final answer
    x = 657.32

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Double scale
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1.5x scale

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.