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Finding the Fourth Proportional to 502.81, 750.36 and 488.23

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Solution

The fourth proportional to 502.81, 750.36 and 488.23 is: 728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.81 : 750.36 = 488.23 : x
  2. Step 2: Convert to fraction form
    502.81/750.36 = 488.23/x
  3. Step 3: Cross multiply
    502.81x = 750.36 × 488.23
  4. Step 4: Simplify right side
    502.81x = 366,348.22
  5. Step 5: Solve for x
    x = 366,348.22/502.81
  6. Step 6: Final answer
    x = 728.61

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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.