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Finding the Fourth Proportional to 1,463.64, 2,195.28 and 409.53

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Solution

The fourth proportional to 1,463.64, 2,195.28 and 409.53 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.64 : 2,195.28 = 409.53 : x
  2. Step 2: Convert to fraction form
    1,463.64/2,195.28 = 409.53/x
  3. Step 3: Cross multiply
    1,463.64x = 2,195.28 × 409.53
  4. Step 4: Simplify right side
    1,463.64x = 899,033.02
  5. Step 5: Solve for x
    x = 899,033.02/1,463.64
  6. Step 6: Final answer
    x = 614.24

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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.