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Finding the Fourth Proportional to 825.55, 1,139.20 and 476.24

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Solution

The fourth proportional to 825.55, 1,139.20 and 476.24 is: 657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.55 : 1,139.20 = 476.24 : x
  2. Step 2: Convert to fraction form
    825.55/1,139.20 = 476.24/x
  3. Step 3: Cross multiply
    825.55x = 1,139.20 × 476.24
  4. Step 4: Simplify right side
    825.55x = 542,532.61
  5. Step 5: Solve for x
    x = 542,532.61/825.55
  6. Step 6: Final answer
    x = 657.18

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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.