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Finding the Fourth Proportional to 487.82, 730.92 and 343.23

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Solution

The fourth proportional to 487.82, 730.92 and 343.23 is: 514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.82 : 730.92 = 343.23 : x
  2. Step 2: Convert to fraction form
    487.82/730.92 = 343.23/x
  3. Step 3: Cross multiply
    487.82x = 730.92 × 343.23
  4. Step 4: Simplify right side
    487.82x = 250,875.77
  5. Step 5: Solve for x
    x = 250,875.77/487.82
  6. Step 6: Final answer
    x = 514.28

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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.