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Finding the Fourth Proportional to 968.10, 1,335.74 and 631.55

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Solution

The fourth proportional to 968.10, 1,335.74 and 631.55 is: 871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.10 : 1,335.74 = 631.55 : x
  2. Step 2: Convert to fraction form
    968.10/1,335.74 = 631.55/x
  3. Step 3: Cross multiply
    968.10x = 1,335.74 × 631.55
  4. Step 4: Simplify right side
    968.10x = 843,576.76
  5. Step 5: Solve for x
    x = 843,576.76/968.10
  6. Step 6: Final answer
    x = 871.37

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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.