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Finding the Fourth Proportional to 488.81, 727.73 and 486.38

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Solution

The fourth proportional to 488.81, 727.73 and 486.38 is: 724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.81 : 727.73 = 486.38 : x
  2. Step 2: Convert to fraction form
    488.81/727.73 = 486.38/x
  3. Step 3: Cross multiply
    488.81x = 727.73 × 486.38
  4. Step 4: Simplify right side
    488.81x = 353,953.32
  5. Step 5: Solve for x
    x = 353,953.32/488.81
  6. Step 6: Final answer
    x = 724.11

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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.