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Finding the Fourth Proportional to 971.88, 1,340.67 and 617.16

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Solution

The fourth proportional to 971.88, 1,340.67 and 617.16 is: 851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.88 : 1,340.67 = 617.16 : x
  2. Step 2: Convert to fraction form
    971.88/1,340.67 = 617.16/x
  3. Step 3: Cross multiply
    971.88x = 1,340.67 × 617.16
  4. Step 4: Simplify right side
    971.88x = 827,407.90
  5. Step 5: Solve for x
    x = 827,407.90/971.88
  6. Step 6: Final answer
    x = 851.35

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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.