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Finding the Fourth Proportional to 916.54, 1,264.32 and 695.12

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Solution

The fourth proportional to 916.54, 1,264.32 and 695.12 is: 958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.54 : 1,264.32 = 695.12 : x
  2. Step 2: Convert to fraction form
    916.54/1,264.32 = 695.12/x
  3. Step 3: Cross multiply
    916.54x = 1,264.32 × 695.12
  4. Step 4: Simplify right side
    916.54x = 878,847.80
  5. Step 5: Solve for x
    x = 878,847.80/916.54
  6. Step 6: Final answer
    x = 958.88

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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.