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Finding the Fourth Proportional to 587.09, 880.52 and 278.66

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Solution

The fourth proportional to 587.09, 880.52 and 278.66 is: 417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.09 : 880.52 = 278.66 : x
  2. Step 2: Convert to fraction form
    587.09/880.52 = 278.66/x
  3. Step 3: Cross multiply
    587.09x = 880.52 × 278.66
  4. Step 4: Simplify right side
    587.09x = 245,359.91
  5. Step 5: Solve for x
    x = 245,359.91/587.09
  6. Step 6: Final answer
    x = 417.93

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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.