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Finding the Fourth Proportional to 502.01, 752.70 and 328.46

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Solution

The fourth proportional to 502.01, 752.70 and 328.46 is: 492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.01 : 752.70 = 328.46 : x
  2. Step 2: Convert to fraction form
    502.01/752.70 = 328.46/x
  3. Step 3: Cross multiply
    502.01x = 752.70 × 328.46
  4. Step 4: Simplify right side
    502.01x = 247,231.84
  5. Step 5: Solve for x
    x = 247,231.84/502.01
  6. Step 6: Final answer
    x = 492.49

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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.