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Finding the Fourth Proportional to 489.88, 735.50 and 306.74

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Solution

The fourth proportional to 489.88, 735.50 and 306.74 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.88 : 735.50 = 306.74 : x
  2. Step 2: Convert to fraction form
    489.88/735.50 = 306.74/x
  3. Step 3: Cross multiply
    489.88x = 735.50 × 306.74
  4. Step 4: Simplify right side
    489.88x = 225,607.27
  5. Step 5: Solve for x
    x = 225,607.27/489.88
  6. Step 6: Final answer
    x = 460.54

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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.