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Finding the Fourth Proportional to 526.91, 789.75 and 218.70

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Solution

The fourth proportional to 526.91, 789.75 and 218.70 is: 327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.91 : 789.75 = 218.70 : x
  2. Step 2: Convert to fraction form
    526.91/789.75 = 218.70/x
  3. Step 3: Cross multiply
    526.91x = 789.75 × 218.70
  4. Step 4: Simplify right side
    526.91x = 172,718.33
  5. Step 5: Solve for x
    x = 172,718.33/526.91
  6. Step 6: Final answer
    x = 327.80

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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.