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Finding the Fourth Proportional to 916.45, 1,264.21 and 695.04

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Solution

The fourth proportional to 916.45, 1,264.21 and 695.04 is: 958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.45 : 1,264.21 = 695.04 : x
  2. Step 2: Convert to fraction form
    916.45/1,264.21 = 695.04/x
  3. Step 3: Cross multiply
    916.45x = 1,264.21 × 695.04
  4. Step 4: Simplify right side
    916.45x = 878,676.52
  5. Step 5: Solve for x
    x = 878,676.52/916.45
  6. Step 6: Final answer
    x = 958.78

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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.