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Finding the Fourth Proportional to 842.39, 1,263.28 and 294.42

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Solution

The fourth proportional to 842.39, 1,263.28 and 294.42 is: 441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.39 : 1,263.28 = 294.42 : x
  2. Step 2: Convert to fraction form
    842.39/1,263.28 = 294.42/x
  3. Step 3: Cross multiply
    842.39x = 1,263.28 × 294.42
  4. Step 4: Simplify right side
    842.39x = 371,934.90
  5. Step 5: Solve for x
    x = 371,934.90/842.39
  6. Step 6: Final answer
    x = 441.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.