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Finding the Fourth Proportional to 489.33, 732.77 and 306.17

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Solution

The fourth proportional to 489.33, 732.77 and 306.17 is: 458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.33 : 732.77 = 306.17 : x
  2. Step 2: Convert to fraction form
    489.33/732.77 = 306.17/x
  3. Step 3: Cross multiply
    489.33x = 732.77 × 306.17
  4. Step 4: Simplify right side
    489.33x = 224,347.00
  5. Step 5: Solve for x
    x = 224,347.00/489.33
  6. Step 6: Final answer
    x = 458.48

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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.