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Finding the Fourth Proportional to 429.78, 593.37 and 400.74

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Solution

The fourth proportional to 429.78, 593.37 and 400.74 is: 553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.78 : 593.37 = 400.74 : x
  2. Step 2: Convert to fraction form
    429.78/593.37 = 400.74/x
  3. Step 3: Cross multiply
    429.78x = 593.37 × 400.74
  4. Step 4: Simplify right side
    429.78x = 237,787.09
  5. Step 5: Solve for x
    x = 237,787.09/429.78
  6. Step 6: Final answer
    x = 553.28

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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.