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Finding the Fourth Proportional to 969.30, 1,337.22 and 686.16

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Solution

The fourth proportional to 969.30, 1,337.22 and 686.16 is: 946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.30 : 1,337.22 = 686.16 : x
  2. Step 2: Convert to fraction form
    969.30/1,337.22 = 686.16/x
  3. Step 3: Cross multiply
    969.30x = 1,337.22 × 686.16
  4. Step 4: Simplify right side
    969.30x = 917,546.88
  5. Step 5: Solve for x
    x = 917,546.88/969.30
  6. Step 6: Final answer
    x = 946.61

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1.5x scale

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.