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Finding the Fourth Proportional to 410.48, 611.30 and 400.40

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Solution

The fourth proportional to 410.48, 611.30 and 400.40 is: 596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.48 : 611.30 = 400.40 : x
  2. Step 2: Convert to fraction form
    410.48/611.30 = 400.40/x
  3. Step 3: Cross multiply
    410.48x = 611.30 × 400.40
  4. Step 4: Simplify right side
    410.48x = 244,764.52
  5. Step 5: Solve for x
    x = 244,764.52/410.48
  6. Step 6: Final answer
    x = 596.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.