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Finding the Fourth Proportional to 487.81, 726.24 and 485.38

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Solution

The fourth proportional to 487.81, 726.24 and 485.38 is: 722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.81 : 726.24 = 485.38 : x
  2. Step 2: Convert to fraction form
    487.81/726.24 = 485.38/x
  3. Step 3: Cross multiply
    487.81x = 726.24 × 485.38
  4. Step 4: Simplify right side
    487.81x = 352,502.37
  5. Step 5: Solve for x
    x = 352,502.37/487.81
  6. Step 6: Final answer
    x = 722.62

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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.