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Finding the Fourth Proportional to 502.24, 744.48 and 494.50

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Solution

The fourth proportional to 502.24, 744.48 and 494.50 is: 733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.24 : 744.48 = 494.50 : x
  2. Step 2: Convert to fraction form
    502.24/744.48 = 494.50/x
  3. Step 3: Cross multiply
    502.24x = 744.48 × 494.50
  4. Step 4: Simplify right side
    502.24x = 368,145.36
  5. Step 5: Solve for x
    x = 368,145.36/502.24
  6. Step 6: Final answer
    x = 733.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.