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Finding the Fourth Proportional to 437.80, 657.74 and 437.12

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Solution

The fourth proportional to 437.80, 657.74 and 437.12 is: 656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.80 : 657.74 = 437.12 : x
  2. Step 2: Convert to fraction form
    437.80/657.74 = 437.12/x
  3. Step 3: Cross multiply
    437.80x = 657.74 × 437.12
  4. Step 4: Simplify right side
    437.80x = 287,511.31
  5. Step 5: Solve for x
    x = 287,511.31/437.80
  6. Step 6: Final answer
    x = 656.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.