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Finding the Fourth Proportional to 527.82, 790.08 and 381.66

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Solution

The fourth proportional to 527.82, 790.08 and 381.66 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.82 : 790.08 = 381.66 : x
  2. Step 2: Convert to fraction form
    527.82/790.08 = 381.66/x
  3. Step 3: Cross multiply
    527.82x = 790.08 × 381.66
  4. Step 4: Simplify right side
    527.82x = 301,541.93
  5. Step 5: Solve for x
    x = 301,541.93/527.82
  6. Step 6: Final answer
    x = 571.30

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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.