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Finding the Fourth Proportional to 825.78, 1,139.57 and 452.76

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Solution

The fourth proportional to 825.78, 1,139.57 and 452.76 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.78 : 1,139.57 = 452.76 : x
  2. Step 2: Convert to fraction form
    825.78/1,139.57 = 452.76/x
  3. Step 3: Cross multiply
    825.78x = 1,139.57 × 452.76
  4. Step 4: Simplify right side
    825.78x = 515,951.71
  5. Step 5: Solve for x
    x = 515,951.71/825.78
  6. Step 6: Final answer
    x = 624.81

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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.