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Finding the Fourth Proportional to 488.74, 733.35 and 306.07

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Solution

The fourth proportional to 488.74, 733.35 and 306.07 is: 459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.74 : 733.35 = 306.07 : x
  2. Step 2: Convert to fraction form
    488.74/733.35 = 306.07/x
  3. Step 3: Cross multiply
    488.74x = 733.35 × 306.07
  4. Step 4: Simplify right side
    488.74x = 224,456.43
  5. Step 5: Solve for x
    x = 224,456.43/488.74
  6. Step 6: Final answer
    x = 459.26

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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.