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Finding the Fourth Proportional to 825.53, 1,139.24 and 452.50

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Solution

The fourth proportional to 825.53, 1,139.24 and 452.50 is: 624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.53 : 1,139.24 = 452.50 : x
  2. Step 2: Convert to fraction form
    825.53/1,139.24 = 452.50/x
  3. Step 3: Cross multiply
    825.53x = 1,139.24 × 452.50
  4. Step 4: Simplify right side
    825.53x = 515,504.38
  5. Step 5: Solve for x
    x = 515,504.38/825.53
  6. Step 6: Final answer
    x = 624.46

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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.