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Finding the Fourth Proportional to 1,463.71, 2,019.98 and 800.62

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Solution

The fourth proportional to 1,463.71, 2,019.98 and 800.62 is: 1,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.71 : 2,019.98 = 800.62 : x
  2. Step 2: Convert to fraction form
    1,463.71/2,019.98 = 800.62/x
  3. Step 3: Cross multiply
    1,463.71x = 2,019.98 × 800.62
  4. Step 4: Simplify right side
    1,463.71x = 1,617,236.39
  5. Step 5: Solve for x
    x = 1,617,236.39/1,463.71
  6. Step 6: Final answer
    x = 1,104.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.