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Finding the Fourth Proportional to 493.90, 740.78 and 288.56

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Solution

The fourth proportional to 493.90, 740.78 and 288.56 is: 432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.90 : 740.78 = 288.56 : x
  2. Step 2: Convert to fraction form
    493.90/740.78 = 288.56/x
  3. Step 3: Cross multiply
    493.90x = 740.78 × 288.56
  4. Step 4: Simplify right side
    493.90x = 213,760.97
  5. Step 5: Solve for x
    x = 213,760.97/493.90
  6. Step 6: Final answer
    x = 432.80

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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.