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Finding the Fourth Proportional to 1,463.50, 2,019.70 and 800.40

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Solution

The fourth proportional to 1,463.50, 2,019.70 and 800.40 is: 1,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.50 : 2,019.70 = 800.40 : x
  2. Step 2: Convert to fraction form
    1,463.50/2,019.70 = 800.40/x
  3. Step 3: Cross multiply
    1,463.50x = 2,019.70 × 800.40
  4. Step 4: Simplify right side
    1,463.50x = 1,616,567.88
  5. Step 5: Solve for x
    x = 1,616,567.88/1,463.50
  6. Step 6: Final answer
    x = 1,104.59

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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.