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Finding the Fourth Proportional to 791.90, 1,093.13 and 529.82

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Solution

The fourth proportional to 791.90, 1,093.13 and 529.82 is: 731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.90 : 1,093.13 = 529.82 : x
  2. Step 2: Convert to fraction form
    791.90/1,093.13 = 529.82/x
  3. Step 3: Cross multiply
    791.90x = 1,093.13 × 529.82
  4. Step 4: Simplify right side
    791.90x = 579,154.02
  5. Step 5: Solve for x
    x = 579,154.02/791.90
  6. Step 6: Final answer
    x = 731.35

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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.