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Finding the Fourth Proportional to 1,661.76, 2,493.90 and 688.20

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Solution

The fourth proportional to 1,661.76, 2,493.90 and 688.20 is: 1,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.76 : 2,493.90 = 688.20 : x
  2. Step 2: Convert to fraction form
    1,661.76/2,493.90 = 688.20/x
  3. Step 3: Cross multiply
    1,661.76x = 2,493.90 × 688.20
  4. Step 4: Simplify right side
    1,661.76x = 1,716,301.98
  5. Step 5: Solve for x
    x = 1,716,301.98/1,661.76
  6. Step 6: Final answer
    x = 1,032.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.