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Finding the Fourth Proportional to 441.78, 657.17 and 437.10

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Solution

The fourth proportional to 441.78, 657.17 and 437.10 is: 650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.78 : 657.17 = 437.10 : x
  2. Step 2: Convert to fraction form
    441.78/657.17 = 437.10/x
  3. Step 3: Cross multiply
    441.78x = 657.17 × 437.10
  4. Step 4: Simplify right side
    441.78x = 287,246.82
  5. Step 5: Solve for x
    x = 287,246.82/441.78
  6. Step 6: Final answer
    x = 650.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.