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Finding the Fourth Proportional to 744.20, 1,026.91 and 412.54

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Solution

The fourth proportional to 744.20, 1,026.91 and 412.54 is: 569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.20 : 1,026.91 = 412.54 : x
  2. Step 2: Convert to fraction form
    744.20/1,026.91 = 412.54/x
  3. Step 3: Cross multiply
    744.20x = 1,026.91 × 412.54
  4. Step 4: Simplify right side
    744.20x = 423,641.45
  5. Step 5: Solve for x
    x = 423,641.45/744.20
  6. Step 6: Final answer
    x = 569.26

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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.