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Finding the Fourth Proportional to 525.67, 788.66 and 217.66

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Solution

The fourth proportional to 525.67, 788.66 and 217.66 is: 326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.67 : 788.66 = 217.66 : x
  2. Step 2: Convert to fraction form
    525.67/788.66 = 217.66/x
  3. Step 3: Cross multiply
    525.67x = 788.66 × 217.66
  4. Step 4: Simplify right side
    525.67x = 171,659.74
  5. Step 5: Solve for x
    x = 171,659.74/525.67
  6. Step 6: Final answer
    x = 326.55

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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.