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Finding the Fourth Proportional to 1,616.47, 2,424.65 and 462.22

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Solution

The fourth proportional to 1,616.47, 2,424.65 and 462.22 is: 693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.47 : 2,424.65 = 462.22 : x
  2. Step 2: Convert to fraction form
    1,616.47/2,424.65 = 462.22/x
  3. Step 3: Cross multiply
    1,616.47x = 2,424.65 × 462.22
  4. Step 4: Simplify right side
    1,616.47x = 1,120,713.35
  5. Step 5: Solve for x
    x = 1,120,713.35/1,616.47
  6. Step 6: Final answer
    x = 693.31

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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.