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Finding the Fourth Proportional to 391.58, 587.79 and 288.54

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Solution

The fourth proportional to 391.58, 587.79 and 288.54 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.58 : 587.79 = 288.54 : x
  2. Step 2: Convert to fraction form
    391.58/587.79 = 288.54/x
  3. Step 3: Cross multiply
    391.58x = 587.79 × 288.54
  4. Step 4: Simplify right side
    391.58x = 169,600.93
  5. Step 5: Solve for x
    x = 169,600.93/391.58
  6. Step 6: Final answer
    x = 433.13

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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.