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Finding the Fourth Proportional to 527.82, 724.62 and 484.08

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Solution

The fourth proportional to 527.82, 724.62 and 484.08 is: 664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.82 : 724.62 = 484.08 : x
  2. Step 2: Convert to fraction form
    527.82/724.62 = 484.08/x
  3. Step 3: Cross multiply
    527.82x = 724.62 × 484.08
  4. Step 4: Simplify right side
    527.82x = 350,774.05
  5. Step 5: Solve for x
    x = 350,774.05/527.82
  6. Step 6: Final answer
    x = 664.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.