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Finding the Fourth Proportional to 916.92, 1,264.72 and 669.08

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Solution

The fourth proportional to 916.92, 1,264.72 and 669.08 is: 922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.92 : 1,264.72 = 669.08 : x
  2. Step 2: Convert to fraction form
    916.92/1,264.72 = 669.08/x
  3. Step 3: Cross multiply
    916.92x = 1,264.72 × 669.08
  4. Step 4: Simplify right side
    916.92x = 846,198.86
  5. Step 5: Solve for x
    x = 846,198.86/916.92
  6. Step 6: Final answer
    x = 922.87

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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.