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Finding the Fourth Proportional to 634.96, 952.86 and 429.76

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Solution

The fourth proportional to 634.96, 952.86 and 429.76 is: 644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.96 : 952.86 = 429.76 : x
  2. Step 2: Convert to fraction form
    634.96/952.86 = 429.76/x
  3. Step 3: Cross multiply
    634.96x = 952.86 × 429.76
  4. Step 4: Simplify right side
    634.96x = 409,501.11
  5. Step 5: Solve for x
    x = 409,501.11/634.96
  6. Step 6: Final answer
    x = 644.92

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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.