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Finding the Fourth Proportional to 633.72, 943.10 and 613.47

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Solution

The fourth proportional to 633.72, 943.10 and 613.47 is: 912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.72 : 943.10 = 613.47 : x
  2. Step 2: Convert to fraction form
    633.72/943.10 = 613.47/x
  3. Step 3: Cross multiply
    633.72x = 943.10 × 613.47
  4. Step 4: Simplify right side
    633.72x = 578,565.09
  5. Step 5: Solve for x
    x = 578,565.09/633.72
  6. Step 6: Final answer
    x = 912.97

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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.