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Finding the Fourth Proportional to 1,217.72, 1,680.44 and 686.54

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Solution

The fourth proportional to 1,217.72, 1,680.44 and 686.54 is: 947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.72 : 1,680.44 = 686.54 : x
  2. Step 2: Convert to fraction form
    1,217.72/1,680.44 = 686.54/x
  3. Step 3: Cross multiply
    1,217.72x = 1,680.44 × 686.54
  4. Step 4: Simplify right side
    1,217.72x = 1,153,677.44
  5. Step 5: Solve for x
    x = 1,153,677.44/1,217.72
  6. Step 6: Final answer
    x = 947.41

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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.