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Finding the Fourth Proportional to 968.76, 1,335.42 and 732.78

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Solution

The fourth proportional to 968.76, 1,335.42 and 732.78 is: 1,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.76 : 1,335.42 = 732.78 : x
  2. Step 2: Convert to fraction form
    968.76/1,335.42 = 732.78/x
  3. Step 3: Cross multiply
    968.76x = 1,335.42 × 732.78
  4. Step 4: Simplify right side
    968.76x = 978,569.07
  5. Step 5: Solve for x
    x = 978,569.07/968.76
  6. Step 6: Final answer
    x = 1,010.13

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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.