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Finding the Fourth Proportional to 432.27, 647.13 and 285.75

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Solution

The fourth proportional to 432.27, 647.13 and 285.75 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.27 : 647.13 = 285.75 : x
  2. Step 2: Convert to fraction form
    432.27/647.13 = 285.75/x
  3. Step 3: Cross multiply
    432.27x = 647.13 × 285.75
  4. Step 4: Simplify right side
    432.27x = 184,917.40
  5. Step 5: Solve for x
    x = 184,917.40/432.27
  6. Step 6: Final answer
    x = 427.78

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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.