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Finding the Fourth Proportional to 622.12, 927.76 and 545.44

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Solution

The fourth proportional to 622.12, 927.76 and 545.44 is: 813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.12 : 927.76 = 545.44 : x
  2. Step 2: Convert to fraction form
    622.12/927.76 = 545.44/x
  3. Step 3: Cross multiply
    622.12x = 927.76 × 545.44
  4. Step 4: Simplify right side
    622.12x = 506,037.41
  5. Step 5: Solve for x
    x = 506,037.41/622.12
  6. Step 6: Final answer
    x = 813.41

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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.