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Finding the Fourth Proportional to 1,616.10, 2,424.41 and 691.67

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Solution

The fourth proportional to 1,616.10, 2,424.41 and 691.67 is: 1,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.10 : 2,424.41 = 691.67 : x
  2. Step 2: Convert to fraction form
    1,616.10/2,424.41 = 691.67/x
  3. Step 3: Cross multiply
    1,616.10x = 2,424.41 × 691.67
  4. Step 4: Simplify right side
    1,616.10x = 1,676,900.75
  5. Step 5: Solve for x
    x = 1,676,900.75/1,616.10
  6. Step 6: Final answer
    x = 1,037.62

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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.