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Finding the Fourth Proportional to 847.31, 1,270.96 and 642.24

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Solution

The fourth proportional to 847.31, 1,270.96 and 642.24 is: 963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.31 : 1,270.96 = 642.24 : x
  2. Step 2: Convert to fraction form
    847.31/1,270.96 = 642.24/x
  3. Step 3: Cross multiply
    847.31x = 1,270.96 × 642.24
  4. Step 4: Simplify right side
    847.31x = 816,259.74
  5. Step 5: Solve for x
    x = 816,259.74/847.31
  6. Step 6: Final answer
    x = 963.36

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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.