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Finding the Fourth Proportional to 842.39, 1,161.70 and 593.92

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Solution

The fourth proportional to 842.39, 1,161.70 and 593.92 is: 819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.39 : 1,161.70 = 593.92 : x
  2. Step 2: Convert to fraction form
    842.39/1,161.70 = 593.92/x
  3. Step 3: Cross multiply
    842.39x = 1,161.70 × 593.92
  4. Step 4: Simplify right side
    842.39x = 689,956.86
  5. Step 5: Solve for x
    x = 689,956.86/842.39
  6. Step 6: Final answer
    x = 819.05

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Half scale
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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.