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Finding the Fourth Proportional to 535.38, 803.34 and 495.06

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Solution

The fourth proportional to 535.38, 803.34 and 495.06 is: 742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.38 : 803.34 = 495.06 : x
  2. Step 2: Convert to fraction form
    535.38/803.34 = 495.06/x
  3. Step 3: Cross multiply
    535.38x = 803.34 × 495.06
  4. Step 4: Simplify right side
    535.38x = 397,701.50
  5. Step 5: Solve for x
    x = 397,701.50/535.38
  6. Step 6: Final answer
    x = 742.84

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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.