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Finding the Fourth Proportional to 437.85, 657.71 and 275.65

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Solution

The fourth proportional to 437.85, 657.71 and 275.65 is: 414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.85 : 657.71 = 275.65 : x
  2. Step 2: Convert to fraction form
    437.85/657.71 = 275.65/x
  3. Step 3: Cross multiply
    437.85x = 657.71 × 275.65
  4. Step 4: Simplify right side
    437.85x = 181,293.09
  5. Step 5: Solve for x
    x = 181,293.09/437.85
  6. Step 6: Final answer
    x = 414.05

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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.