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Finding the Fourth Proportional to 526.59, 789.29 and 197.21

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Solution

The fourth proportional to 526.59, 789.29 and 197.21 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.59 : 789.29 = 197.21 : x
  2. Step 2: Convert to fraction form
    526.59/789.29 = 197.21/x
  3. Step 3: Cross multiply
    526.59x = 789.29 × 197.21
  4. Step 4: Simplify right side
    526.59x = 155,656.50
  5. Step 5: Solve for x
    x = 155,656.50/526.59
  6. Step 6: Final answer
    x = 295.59

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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.