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Finding the Fourth Proportional to 502.81, 750.38 and 448.13

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Solution

The fourth proportional to 502.81, 750.38 and 448.13 is: 668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.81 : 750.38 = 448.13 : x
  2. Step 2: Convert to fraction form
    502.81/750.38 = 448.13/x
  3. Step 3: Cross multiply
    502.81x = 750.38 × 448.13
  4. Step 4: Simplify right side
    502.81x = 336,267.42
  5. Step 5: Solve for x
    x = 336,267.42/502.81
  6. Step 6: Final answer
    x = 668.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.