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Finding the Fourth Proportional to 587.61, 881.16 and 262.75

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Solution

The fourth proportional to 587.61, 881.16 and 262.75 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.61 : 881.16 = 262.75 : x
  2. Step 2: Convert to fraction form
    587.61/881.16 = 262.75/x
  3. Step 3: Cross multiply
    587.61x = 881.16 × 262.75
  4. Step 4: Simplify right side
    587.61x = 231,524.79
  5. Step 5: Solve for x
    x = 231,524.79/587.61
  6. Step 6: Final answer
    x = 394.01

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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.