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Finding the Fourth Proportional to 419.12, 578.45 and 400.66

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Solution

The fourth proportional to 419.12, 578.45 and 400.66 is: 552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.12 : 578.45 = 400.66 : x
  2. Step 2: Convert to fraction form
    419.12/578.45 = 400.66/x
  3. Step 3: Cross multiply
    419.12x = 578.45 × 400.66
  4. Step 4: Simplify right side
    419.12x = 231,759.77
  5. Step 5: Solve for x
    x = 231,759.77/419.12
  6. Step 6: Final answer
    x = 552.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.