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Finding the Fourth Proportional to 410.79, 563.55 and 400.03

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Solution

The fourth proportional to 410.79, 563.55 and 400.03 is: 548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.79 : 563.55 = 400.03 : x
  2. Step 2: Convert to fraction form
    410.79/563.55 = 400.03/x
  3. Step 3: Cross multiply
    410.79x = 563.55 × 400.03
  4. Step 4: Simplify right side
    410.79x = 225,436.91
  5. Step 5: Solve for x
    x = 225,436.91/410.79
  6. Step 6: Final answer
    x = 548.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.