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Finding the Fourth Proportional to 1,088.73, 1,632.83 and 308.81

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Solution

The fourth proportional to 1,088.73, 1,632.83 and 308.81 is: 463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.73 : 1,632.83 = 308.81 : x
  2. Step 2: Convert to fraction form
    1,088.73/1,632.83 = 308.81/x
  3. Step 3: Cross multiply
    1,088.73x = 1,632.83 × 308.81
  4. Step 4: Simplify right side
    1,088.73x = 504,224.52
  5. Step 5: Solve for x
    x = 504,224.52/1,088.73
  6. Step 6: Final answer
    x = 463.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.