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Finding the Fourth Proportional to 587.78, 881.31 and 404.97

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Solution

The fourth proportional to 587.78, 881.31 and 404.97 is: 607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.78 : 881.31 = 404.97 : x
  2. Step 2: Convert to fraction form
    587.78/881.31 = 404.97/x
  3. Step 3: Cross multiply
    587.78x = 881.31 × 404.97
  4. Step 4: Simplify right side
    587.78x = 356,904.11
  5. Step 5: Solve for x
    x = 356,904.11/587.78
  6. Step 6: Final answer
    x = 607.21

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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.