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Finding the Fourth Proportional to 1,616.13, 2,423.70 and 576.36

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Solution

The fourth proportional to 1,616.13, 2,423.70 and 576.36 is: 864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.13 : 2,423.70 = 576.36 : x
  2. Step 2: Convert to fraction form
    1,616.13/2,423.70 = 576.36/x
  3. Step 3: Cross multiply
    1,616.13x = 2,423.70 × 576.36
  4. Step 4: Simplify right side
    1,616.13x = 1,396,923.73
  5. Step 5: Solve for x
    x = 1,396,923.73/1,616.13
  6. Step 6: Final answer
    x = 864.36

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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.