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Finding the Fourth Proportional to 525.90, 789.15 and 363.70

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Solution

The fourth proportional to 525.90, 789.15 and 363.70 is: 545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.90 : 789.15 = 363.70 : x
  2. Step 2: Convert to fraction form
    525.90/789.15 = 363.70/x
  3. Step 3: Cross multiply
    525.90x = 789.15 × 363.70
  4. Step 4: Simplify right side
    525.90x = 287,013.86
  5. Step 5: Solve for x
    x = 287,013.86/525.90
  6. Step 6: Final answer
    x = 545.76

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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.