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Finding the Fourth Proportional to 527.81, 728.36 and 318.11

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Solution

The fourth proportional to 527.81, 728.36 and 318.11 is: 438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.81 : 728.36 = 318.11 : x
  2. Step 2: Convert to fraction form
    527.81/728.36 = 318.11/x
  3. Step 3: Cross multiply
    527.81x = 728.36 × 318.11
  4. Step 4: Simplify right side
    527.81x = 231,698.60
  5. Step 5: Solve for x
    x = 231,698.60/527.81
  6. Step 6: Final answer
    x = 438.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.