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Finding the Fourth Proportional to 998.17, 1,377.72 and 572.92

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Solution

The fourth proportional to 998.17, 1,377.72 and 572.92 is: 790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.17 : 1,377.72 = 572.92 : x
  2. Step 2: Convert to fraction form
    998.17/1,377.72 = 572.92/x
  3. Step 3: Cross multiply
    998.17x = 1,377.72 × 572.92
  4. Step 4: Simplify right side
    998.17x = 789,323.34
  5. Step 5: Solve for x
    x = 789,323.34/998.17
  6. Step 6: Final answer
    x = 790.77

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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.