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Finding the Fourth Proportional to 975.37, 1,463.30 and 867.85

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Solution

The fourth proportional to 975.37, 1,463.30 and 867.85 is: 1,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.37 : 1,463.30 = 867.85 : x
  2. Step 2: Convert to fraction form
    975.37/1,463.30 = 867.85/x
  3. Step 3: Cross multiply
    975.37x = 1,463.30 × 867.85
  4. Step 4: Simplify right side
    975.37x = 1,269,920.57
  5. Step 5: Solve for x
    x = 1,269,920.57/975.37
  6. Step 6: Final answer
    x = 1,301.99

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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.