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Finding the Fourth Proportional to 502.99, 754.49 and 330.75

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Solution

The fourth proportional to 502.99, 754.49 and 330.75 is: 496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.99 : 754.49 = 330.75 : x
  2. Step 2: Convert to fraction form
    502.99/754.49 = 330.75/x
  3. Step 3: Cross multiply
    502.99x = 754.49 × 330.75
  4. Step 4: Simplify right side
    502.99x = 249,543.08
  5. Step 5: Solve for x
    x = 249,543.08/502.99
  6. Step 6: Final answer
    x = 496.12

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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.