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Finding the Fourth Proportional to 587.95, 880.29 and 298.78

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Solution

The fourth proportional to 587.95, 880.29 and 298.78 is: 447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.95 : 880.29 = 298.78 : x
  2. Step 2: Convert to fraction form
    587.95/880.29 = 298.78/x
  3. Step 3: Cross multiply
    587.95x = 880.29 × 298.78
  4. Step 4: Simplify right side
    587.95x = 263,013.05
  5. Step 5: Solve for x
    x = 263,013.05/587.95
  6. Step 6: Final answer
    x = 447.34

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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.