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Finding the Fourth Proportional to 485.90, 730.35 and 324.62

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Solution

The fourth proportional to 485.90, 730.35 and 324.62 is: 487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.90 : 730.35 = 324.62 : x
  2. Step 2: Convert to fraction form
    485.90/730.35 = 324.62/x
  3. Step 3: Cross multiply
    485.90x = 730.35 × 324.62
  4. Step 4: Simplify right side
    485.90x = 237,082.57
  5. Step 5: Solve for x
    x = 237,082.57/485.90
  6. Step 6: Final answer
    x = 487.93

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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.