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Finding the Fourth Proportional to 487.65, 730.31 and 281.79

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Solution

The fourth proportional to 487.65, 730.31 and 281.79 is: 422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.65 : 730.31 = 281.79 : x
  2. Step 2: Convert to fraction form
    487.65/730.31 = 281.79/x
  3. Step 3: Cross multiply
    487.65x = 730.31 × 281.79
  4. Step 4: Simplify right side
    487.65x = 205,794.05
  5. Step 5: Solve for x
    x = 205,794.05/487.65
  6. Step 6: Final answer
    x = 422.01

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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.