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Finding the Fourth Proportional to 535.56, 803.60 and 392.44

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Solution

The fourth proportional to 535.56, 803.60 and 392.44 is: 588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.56 : 803.60 = 392.44 : x
  2. Step 2: Convert to fraction form
    535.56/803.60 = 392.44/x
  3. Step 3: Cross multiply
    535.56x = 803.60 × 392.44
  4. Step 4: Simplify right side
    535.56x = 315,364.78
  5. Step 5: Solve for x
    x = 315,364.78/535.56
  6. Step 6: Final answer
    x = 588.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.