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Finding the Fourth Proportional to 1,463.90, 2,019.76 and 874.22

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Solution

The fourth proportional to 1,463.90, 2,019.76 and 874.22 is: 1,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.90 : 2,019.76 = 874.22 : x
  2. Step 2: Convert to fraction form
    1,463.90/2,019.76 = 874.22/x
  3. Step 3: Cross multiply
    1,463.90x = 2,019.76 × 874.22
  4. Step 4: Simplify right side
    1,463.90x = 1,765,704.49
  5. Step 5: Solve for x
    x = 1,765,704.49/1,463.90
  6. Step 6: Final answer
    x = 1,206.17

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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.