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Finding the Fourth Proportional to 1,463.46, 2,019.53 and 800.30

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Solution

The fourth proportional to 1,463.46, 2,019.53 and 800.30 is: 1,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.46 : 2,019.53 = 800.30 : x
  2. Step 2: Convert to fraction form
    1,463.46/2,019.53 = 800.30/x
  3. Step 3: Cross multiply
    1,463.46x = 2,019.53 × 800.30
  4. Step 4: Simplify right side
    1,463.46x = 1,616,221.76
  5. Step 5: Solve for x
    x = 1,616,221.76/1,463.46
  6. Step 6: Final answer
    x = 1,104.38

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Why These Related Problems?

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