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Finding the Fourth Proportional to 502.98, 753.67 and 365.38

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Solution

The fourth proportional to 502.98, 753.67 and 365.38 is: 547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.98 : 753.67 = 365.38 : x
  2. Step 2: Convert to fraction form
    502.98/753.67 = 365.38/x
  3. Step 3: Cross multiply
    502.98x = 753.67 × 365.38
  4. Step 4: Simplify right side
    502.98x = 275,375.94
  5. Step 5: Solve for x
    x = 275,375.94/502.98
  6. Step 6: Final answer
    x = 547.49

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1.5x scale

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.