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Finding the Fourth Proportional to 863.40, 1,294.44 and 430.86

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Solution

The fourth proportional to 863.40, 1,294.44 and 430.86 is: 645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.40 : 1,294.44 = 430.86 : x
  2. Step 2: Convert to fraction form
    863.40/1,294.44 = 430.86/x
  3. Step 3: Cross multiply
    863.40x = 1,294.44 × 430.86
  4. Step 4: Simplify right side
    863.40x = 557,722.42
  5. Step 5: Solve for x
    x = 557,722.42/863.40
  6. Step 6: Final answer
    x = 645.96

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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.