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Finding the Fourth Proportional to 488.78, 733.51 and 283.07

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Solution

The fourth proportional to 488.78, 733.51 and 283.07 is: 424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.78 : 733.51 = 283.07 : x
  2. Step 2: Convert to fraction form
    488.78/733.51 = 283.07/x
  3. Step 3: Cross multiply
    488.78x = 733.51 × 283.07
  4. Step 4: Simplify right side
    488.78x = 207,630.30
  5. Step 5: Solve for x
    x = 207,630.30/488.78
  6. Step 6: Final answer
    x = 424.79

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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.