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Finding the Fourth Proportional to 744.48, 1,027.28 and 412.84

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Solution

The fourth proportional to 744.48, 1,027.28 and 412.84 is: 569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.48 : 1,027.28 = 412.84 : x
  2. Step 2: Convert to fraction form
    744.48/1,027.28 = 412.84/x
  3. Step 3: Cross multiply
    744.48x = 1,027.28 × 412.84
  4. Step 4: Simplify right side
    744.48x = 424,100.74
  5. Step 5: Solve for x
    x = 424,100.74/744.48
  6. Step 6: Final answer
    x = 569.66

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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.