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Finding the Fourth Proportional to 1,280.93, 1,768.16 and 1,103.24

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Solution

The fourth proportional to 1,280.93, 1,768.16 and 1,103.24 is: 1,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.93 : 1,768.16 = 1,103.24 : x
  2. Step 2: Convert to fraction form
    1,280.93/1,768.16 = 1,103.24/x
  3. Step 3: Cross multiply
    1,280.93x = 1,768.16 × 1,103.24
  4. Step 4: Simplify right side
    1,280.93x = 1,950,690.48
  5. Step 5: Solve for x
    x = 1,950,690.48/1,280.93
  6. Step 6: Final answer
    x = 1,522.88

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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.