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Finding the Fourth Proportional to 744.40, 1,027.31 and 429.72

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Solution

The fourth proportional to 744.40, 1,027.31 and 429.72 is: 593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.40 : 1,027.31 = 429.72 : x
  2. Step 2: Convert to fraction form
    744.40/1,027.31 = 429.72/x
  3. Step 3: Cross multiply
    744.40x = 1,027.31 × 429.72
  4. Step 4: Simplify right side
    744.40x = 441,455.65
  5. Step 5: Solve for x
    x = 441,455.65/744.40
  6. Step 6: Final answer
    x = 593.04

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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.