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Finding the Fourth Proportional to 795.95, 1,191.89 and 575.66

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Solution

The fourth proportional to 795.95, 1,191.89 and 575.66 is: 862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.95 : 1,191.89 = 575.66 : x
  2. Step 2: Convert to fraction form
    795.95/1,191.89 = 575.66/x
  3. Step 3: Cross multiply
    795.95x = 1,191.89 × 575.66
  4. Step 4: Simplify right side
    795.95x = 686,123.40
  5. Step 5: Solve for x
    x = 686,123.40/795.95
  6. Step 6: Final answer
    x = 862.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.