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Finding the Fourth Proportional to 463.40, 695.10 and 400.04

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Solution

The fourth proportional to 463.40, 695.10 and 400.04 is: 600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.40 : 695.10 = 400.04 : x
  2. Step 2: Convert to fraction form
    463.40/695.10 = 400.04/x
  3. Step 3: Cross multiply
    463.40x = 695.10 × 400.04
  4. Step 4: Simplify right side
    463.40x = 278,067.80
  5. Step 5: Solve for x
    x = 278,067.80/463.40
  6. Step 6: Final answer
    x = 600.06

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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.