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Finding the Fourth Proportional to 414.48, 618.82 and 373.52

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Solution

The fourth proportional to 414.48, 618.82 and 373.52 is: 557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.48 : 618.82 = 373.52 : x
  2. Step 2: Convert to fraction form
    414.48/618.82 = 373.52/x
  3. Step 3: Cross multiply
    414.48x = 618.82 × 373.52
  4. Step 4: Simplify right side
    414.48x = 231,141.65
  5. Step 5: Solve for x
    x = 231,141.65/414.48
  6. Step 6: Final answer
    x = 557.67

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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.