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Finding the Fourth Proportional to 587.83, 881.34 and 279.49

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Solution

The fourth proportional to 587.83, 881.34 and 279.49 is: 419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.83 : 881.34 = 279.49 : x
  2. Step 2: Convert to fraction form
    587.83/881.34 = 279.49/x
  3. Step 3: Cross multiply
    587.83x = 881.34 × 279.49
  4. Step 4: Simplify right side
    587.83x = 246,325.72
  5. Step 5: Solve for x
    x = 246,325.72/587.83
  6. Step 6: Final answer
    x = 419.04

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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.