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Finding the Fourth Proportional to 527.56, 794.43 and 391.58

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Solution

The fourth proportional to 527.56, 794.43 and 391.58 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 794.43 = 391.58 : x
  2. Step 2: Convert to fraction form
    527.56/794.43 = 391.58/x
  3. Step 3: Cross multiply
    527.56x = 794.43 × 391.58
  4. Step 4: Simplify right side
    527.56x = 311,082.90
  5. Step 5: Solve for x
    x = 311,082.90/527.56
  6. Step 6: Final answer
    x = 589.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.