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Finding the Fourth Proportional to 527.37, 790.36 and 381.61

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Solution

The fourth proportional to 527.37, 790.36 and 381.61 is: 571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.37 : 790.36 = 381.61 : x
  2. Step 2: Convert to fraction form
    527.37/790.36 = 381.61/x
  3. Step 3: Cross multiply
    527.37x = 790.36 × 381.61
  4. Step 4: Simplify right side
    527.37x = 301,603.42
  5. Step 5: Solve for x
    x = 301,603.42/527.37
  6. Step 6: Final answer
    x = 571.91

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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.