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Finding the Fourth Proportional to 527.81, 728.41 and 362.10

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Solution

The fourth proportional to 527.81, 728.41 and 362.10 is: 499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.81 : 728.41 = 362.10 : x
  2. Step 2: Convert to fraction form
    527.81/728.41 = 362.10/x
  3. Step 3: Cross multiply
    527.81x = 728.41 × 362.10
  4. Step 4: Simplify right side
    527.81x = 263,757.26
  5. Step 5: Solve for x
    x = 263,757.26/527.81
  6. Step 6: Final answer
    x = 499.72

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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.