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Finding the Fourth Proportional to 793.42, 1,093.71 and 572.29

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Solution

The fourth proportional to 793.42, 1,093.71 and 572.29 is: 788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.42 : 1,093.71 = 572.29 : x
  2. Step 2: Convert to fraction form
    793.42/1,093.71 = 572.29/x
  3. Step 3: Cross multiply
    793.42x = 1,093.71 × 572.29
  4. Step 4: Simplify right side
    793.42x = 625,919.30
  5. Step 5: Solve for x
    x = 625,919.30/793.42
  6. Step 6: Final answer
    x = 788.89

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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.