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Finding the Fourth Proportional to 487.72, 732.30 and 295.48

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Solution

The fourth proportional to 487.72, 732.30 and 295.48 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.72 : 732.30 = 295.48 : x
  2. Step 2: Convert to fraction form
    487.72/732.30 = 295.48/x
  3. Step 3: Cross multiply
    487.72x = 732.30 × 295.48
  4. Step 4: Simplify right side
    487.72x = 216,380.00
  5. Step 5: Solve for x
    x = 216,380.00/487.72
  6. Step 6: Final answer
    x = 443.66

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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.