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Finding the Fourth Proportional to 437.54, 659.39 and 410.20

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Solution

The fourth proportional to 437.54, 659.39 and 410.20 is: 618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.54 : 659.39 = 410.20 : x
  2. Step 2: Convert to fraction form
    437.54/659.39 = 410.20/x
  3. Step 3: Cross multiply
    437.54x = 659.39 × 410.20
  4. Step 4: Simplify right side
    437.54x = 270,481.78
  5. Step 5: Solve for x
    x = 270,481.78/437.54
  6. Step 6: Final answer
    x = 618.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.