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Finding the Fourth Proportional to 525.77, 789.19 and 371.87

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Solution

The fourth proportional to 525.77, 789.19 and 371.87 is: 558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.77 : 789.19 = 371.87 : x
  2. Step 2: Convert to fraction form
    525.77/789.19 = 371.87/x
  3. Step 3: Cross multiply
    525.77x = 789.19 × 371.87
  4. Step 4: Simplify right side
    525.77x = 293,471.21
  5. Step 5: Solve for x
    x = 293,471.21/525.77
  6. Step 6: Final answer
    x = 558.18

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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.