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Finding the Fourth Proportional to 1,221.92, 1,686.24 and 662.40

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Solution

The fourth proportional to 1,221.92, 1,686.24 and 662.40 is: 914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.92 : 1,686.24 = 662.40 : x
  2. Step 2: Convert to fraction form
    1,221.92/1,686.24 = 662.40/x
  3. Step 3: Cross multiply
    1,221.92x = 1,686.24 × 662.40
  4. Step 4: Simplify right side
    1,221.92x = 1,116,956.57
  5. Step 5: Solve for x
    x = 1,116,956.57/1,221.92
  6. Step 6: Final answer
    x = 914.10

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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.