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Finding the Fourth Proportional to 856.30, 1,283.82 and 422.86

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Solution

The fourth proportional to 856.30, 1,283.82 and 422.86 is: 633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.30 : 1,283.82 = 422.86 : x
  2. Step 2: Convert to fraction form
    856.30/1,283.82 = 422.86/x
  3. Step 3: Cross multiply
    856.30x = 1,283.82 × 422.86
  4. Step 4: Simplify right side
    856.30x = 542,876.13
  5. Step 5: Solve for x
    x = 542,876.13/856.30
  6. Step 6: Final answer
    x = 633.98

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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.