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Finding the Fourth Proportional to 968.71, 1,335.81 and 912.91

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Solution

The fourth proportional to 968.71, 1,335.81 and 912.91 is: 1,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.71 : 1,335.81 = 912.91 : x
  2. Step 2: Convert to fraction form
    968.71/1,335.81 = 912.91/x
  3. Step 3: Cross multiply
    968.71x = 1,335.81 × 912.91
  4. Step 4: Simplify right side
    968.71x = 1,219,474.31
  5. Step 5: Solve for x
    x = 1,219,474.31/968.71
  6. Step 6: Final answer
    x = 1,258.86

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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.