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Finding the Fourth Proportional to 587.29, 881.24 and 278.95

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Solution

The fourth proportional to 587.29, 881.24 and 278.95 is: 418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.29 : 881.24 = 278.95 : x
  2. Step 2: Convert to fraction form
    587.29/881.24 = 278.95/x
  3. Step 3: Cross multiply
    587.29x = 881.24 × 278.95
  4. Step 4: Simplify right side
    587.29x = 245,818.19
  5. Step 5: Solve for x
    x = 245,818.19/587.29
  6. Step 6: Final answer
    x = 418.57

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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.