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Finding the Fourth Proportional to 527.94, 724.59 and 484.20

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Solution

The fourth proportional to 527.94, 724.59 and 484.20 is: 664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.94 : 724.59 = 484.20 : x
  2. Step 2: Convert to fraction form
    527.94/724.59 = 484.20/x
  3. Step 3: Cross multiply
    527.94x = 724.59 × 484.20
  4. Step 4: Simplify right side
    527.94x = 350,846.48
  5. Step 5: Solve for x
    x = 350,846.48/527.94
  6. Step 6: Final answer
    x = 664.56

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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.