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Finding the Fourth Proportional to 489.45, 732.87 and 335.13

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Solution

The fourth proportional to 489.45, 732.87 and 335.13 is: 501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.45 : 732.87 = 335.13 : x
  2. Step 2: Convert to fraction form
    489.45/732.87 = 335.13/x
  3. Step 3: Cross multiply
    489.45x = 732.87 × 335.13
  4. Step 4: Simplify right side
    489.45x = 245,606.72
  5. Step 5: Solve for x
    x = 245,606.72/489.45
  6. Step 6: Final answer
    x = 501.80

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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.