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Finding the Fourth Proportional to 968.87, 1,338.35 and 761.69

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Solution

The fourth proportional to 968.87, 1,338.35 and 761.69 is: 1,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.87 : 1,338.35 = 761.69 : x
  2. Step 2: Convert to fraction form
    968.87/1,338.35 = 761.69/x
  3. Step 3: Cross multiply
    968.87x = 1,338.35 × 761.69
  4. Step 4: Simplify right side
    968.87x = 1,019,397.31
  5. Step 5: Solve for x
    x = 1,019,397.31/968.87
  6. Step 6: Final answer
    x = 1,052.16

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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.