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Finding the Fourth Proportional to 865.65, 1,291.11 and 761.76

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Solution

The fourth proportional to 865.65, 1,291.11 and 761.76 is: 1,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.65 : 1,291.11 = 761.76 : x
  2. Step 2: Convert to fraction form
    865.65/1,291.11 = 761.76/x
  3. Step 3: Cross multiply
    865.65x = 1,291.11 × 761.76
  4. Step 4: Simplify right side
    865.65x = 983,515.95
  5. Step 5: Solve for x
    x = 983,515.95/865.65
  6. Step 6: Final answer
    x = 1,136.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.