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Finding the Fourth Proportional to 744.38, 1,027.19 and 429.64

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Solution

The fourth proportional to 744.38, 1,027.19 and 429.64 is: 592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.38 : 1,027.19 = 429.64 : x
  2. Step 2: Convert to fraction form
    744.38/1,027.19 = 429.64/x
  3. Step 3: Cross multiply
    744.38x = 1,027.19 × 429.64
  4. Step 4: Simplify right side
    744.38x = 441,314.63
  5. Step 5: Solve for x
    x = 441,314.63/744.38
  6. Step 6: Final answer
    x = 592.86

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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.