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Finding the Fourth Proportional to 633.15, 943.20 and 614.04

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Solution

The fourth proportional to 633.15, 943.20 and 614.04 is: 914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.15 : 943.20 = 614.04 : x
  2. Step 2: Convert to fraction form
    633.15/943.20 = 614.04/x
  3. Step 3: Cross multiply
    633.15x = 943.20 × 614.04
  4. Step 4: Simplify right side
    633.15x = 579,162.53
  5. Step 5: Solve for x
    x = 579,162.53/633.15
  6. Step 6: Final answer
    x = 914.73

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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.