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Finding the Fourth Proportional to 701.76, 968.04 and 631.29

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Solution

The fourth proportional to 701.76, 968.04 and 631.29 is: 870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.76 : 968.04 = 631.29 : x
  2. Step 2: Convert to fraction form
    701.76/968.04 = 631.29/x
  3. Step 3: Cross multiply
    701.76x = 968.04 × 631.29
  4. Step 4: Simplify right side
    701.76x = 611,113.97
  5. Step 5: Solve for x
    x = 611,113.97/701.76
  6. Step 6: Final answer
    x = 870.83

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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.