Home / 1,642.16-2,463.24-409.56

Finding the Fourth Proportional to 1,642.16, 2,463.24 and 409.56

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Solution

The fourth proportional to 1,642.16, 2,463.24 and 409.56 is: 614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.16 : 2,463.24 = 409.56 : x
  2. Step 2: Convert to fraction form
    1,642.16/2,463.24 = 409.56/x
  3. Step 3: Cross multiply
    1,642.16x = 2,463.24 × 409.56
  4. Step 4: Simplify right side
    1,642.16x = 1,008,853.55
  5. Step 5: Solve for x
    x = 1,008,853.55/1,642.16
  6. Step 6: Final answer
    x = 614.35

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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.