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Finding the Fourth Proportional to 587.58, 881.70 and 217.64

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Solution

The fourth proportional to 587.58, 881.70 and 217.64 is: 326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.58 : 881.70 = 217.64 : x
  2. Step 2: Convert to fraction form
    587.58/881.70 = 217.64/x
  3. Step 3: Cross multiply
    587.58x = 881.70 × 217.64
  4. Step 4: Simplify right side
    587.58x = 191,892.90
  5. Step 5: Solve for x
    x = 191,892.90/587.58
  6. Step 6: Final answer
    x = 326.58

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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.