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Finding the Fourth Proportional to 634.42, 873.68 and 545.18

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Solution

The fourth proportional to 634.42, 873.68 and 545.18 is: 750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.42 : 873.68 = 545.18 : x
  2. Step 2: Convert to fraction form
    634.42/873.68 = 545.18/x
  3. Step 3: Cross multiply
    634.42x = 873.68 × 545.18
  4. Step 4: Simplify right side
    634.42x = 476,312.86
  5. Step 5: Solve for x
    x = 476,312.86/634.42
  6. Step 6: Final answer
    x = 750.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.