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Finding the Fourth Proportional to 968.82, 1,337.50 and 742.92

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Solution

The fourth proportional to 968.82, 1,337.50 and 742.92 is: 1,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.82 : 1,337.50 = 742.92 : x
  2. Step 2: Convert to fraction form
    968.82/1,337.50 = 742.92/x
  3. Step 3: Cross multiply
    968.82x = 1,337.50 × 742.92
  4. Step 4: Simplify right side
    968.82x = 993,655.50
  5. Step 5: Solve for x
    x = 993,655.50/968.82
  6. Step 6: Final answer
    x = 1,025.63

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Double scale
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1.5x scale

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.