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Finding the Fourth Proportional to 926.83, 1,279.87 and 595.83

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Solution

The fourth proportional to 926.83, 1,279.87 and 595.83 is: 822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.83 : 1,279.87 = 595.83 : x
  2. Step 2: Convert to fraction form
    926.83/1,279.87 = 595.83/x
  3. Step 3: Cross multiply
    926.83x = 1,279.87 × 595.83
  4. Step 4: Simplify right side
    926.83x = 762,586.80
  5. Step 5: Solve for x
    x = 762,586.80/926.83
  6. Step 6: Final answer
    x = 822.79

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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.