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Finding the Fourth Proportional to 862.65, 1,191.11 and 601.02

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Solution

The fourth proportional to 862.65, 1,191.11 and 601.02 is: 829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.65 : 1,191.11 = 601.02 : x
  2. Step 2: Convert to fraction form
    862.65/1,191.11 = 601.02/x
  3. Step 3: Cross multiply
    862.65x = 1,191.11 × 601.02
  4. Step 4: Simplify right side
    862.65x = 715,877.93
  5. Step 5: Solve for x
    x = 715,877.93/862.65
  6. Step 6: Final answer
    x = 829.86

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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.