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Finding the Fourth Proportional to 862.30, 1,287 and 744.65

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Solution

The fourth proportional to 862.30, 1,287 and 744.65 is: 1,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.30 : 1,287 = 744.65 : x
  2. Step 2: Convert to fraction form
    862.30/1,287 = 744.65/x
  3. Step 3: Cross multiply
    862.30x = 1,287 × 744.65
  4. Step 4: Simplify right side
    862.30x = 958,362.94
  5. Step 5: Solve for x
    x = 958,362.94/862.30
  6. Step 6: Final answer
    x = 1,111.40

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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.