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Finding the Fourth Proportional to 587.06, 880.75 and 197.09

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Solution

The fourth proportional to 587.06, 880.75 and 197.09 is: 295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.06 : 880.75 = 197.09 : x
  2. Step 2: Convert to fraction form
    587.06/880.75 = 197.09/x
  3. Step 3: Cross multiply
    587.06x = 880.75 × 197.09
  4. Step 4: Simplify right side
    587.06x = 173,587.02
  5. Step 5: Solve for x
    x = 173,587.02/587.06
  6. Step 6: Final answer
    x = 295.69

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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.