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Finding the Fourth Proportional to 824.39, 1,135.72 and 677.87

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Solution

The fourth proportional to 824.39, 1,135.72 and 677.87 is: 933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.39 : 1,135.72 = 677.87 : x
  2. Step 2: Convert to fraction form
    824.39/1,135.72 = 677.87/x
  3. Step 3: Cross multiply
    824.39x = 1,135.72 × 677.87
  4. Step 4: Simplify right side
    824.39x = 769,870.52
  5. Step 5: Solve for x
    x = 769,870.52/824.39
  6. Step 6: Final answer
    x = 933.87

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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.