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Finding the Fourth Proportional to 1,103.93, 1,653.61 and 884.92

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Solution

The fourth proportional to 1,103.93, 1,653.61 and 884.92 is: 1,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.93 : 1,653.61 = 884.92 : x
  2. Step 2: Convert to fraction form
    1,103.93/1,653.61 = 884.92/x
  3. Step 3: Cross multiply
    1,103.93x = 1,653.61 × 884.92
  4. Step 4: Simplify right side
    1,103.93x = 1,463,312.56
  5. Step 5: Solve for x
    x = 1,463,312.56/1,103.93
  6. Step 6: Final answer
    x = 1,325.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.