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Finding the Fourth Proportional to 502.94, 750.55 and 448.27

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Solution

The fourth proportional to 502.94, 750.55 and 448.27 is: 668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.94 : 750.55 = 448.27 : x
  2. Step 2: Convert to fraction form
    502.94/750.55 = 448.27/x
  3. Step 3: Cross multiply
    502.94x = 750.55 × 448.27
  4. Step 4: Simplify right side
    502.94x = 336,449.05
  5. Step 5: Solve for x
    x = 336,449.05/502.94
  6. Step 6: Final answer
    x = 668.96

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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.