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Finding the Fourth Proportional to 525.15, 786.85 and 370.82

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Solution

The fourth proportional to 525.15, 786.85 and 370.82 is: 555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.15 : 786.85 = 370.82 : x
  2. Step 2: Convert to fraction form
    525.15/786.85 = 370.82/x
  3. Step 3: Cross multiply
    525.15x = 786.85 × 370.82
  4. Step 4: Simplify right side
    525.15x = 291,777.86
  5. Step 5: Solve for x
    x = 291,777.86/525.15
  6. Step 6: Final answer
    x = 555.61

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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.