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Finding the Fourth Proportional to 744.42, 1,027.30 and 412.84

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Solution

The fourth proportional to 744.42, 1,027.30 and 412.84 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.42 : 1,027.30 = 412.84 : x
  2. Step 2: Convert to fraction form
    744.42/1,027.30 = 412.84/x
  3. Step 3: Cross multiply
    744.42x = 1,027.30 × 412.84
  4. Step 4: Simplify right side
    744.42x = 424,105.40
  5. Step 5: Solve for x
    x = 424,105.40/744.42
  6. Step 6: Final answer
    x = 569.71

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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.