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Finding the Fourth Proportional to 634.86, 948.06 and 560.34

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Solution

The fourth proportional to 634.86, 948.06 and 560.34 is: 836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.86 : 948.06 = 560.34 : x
  2. Step 2: Convert to fraction form
    634.86/948.06 = 560.34/x
  3. Step 3: Cross multiply
    634.86x = 948.06 × 560.34
  4. Step 4: Simplify right side
    634.86x = 531,235.94
  5. Step 5: Solve for x
    x = 531,235.94/634.86
  6. Step 6: Final answer
    x = 836.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.