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Finding the Fourth Proportional to 1,103.48, 1,522.92 and 684.12

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Solution

The fourth proportional to 1,103.48, 1,522.92 and 684.12 is: 944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.48 : 1,522.92 = 684.12 : x
  2. Step 2: Convert to fraction form
    1,103.48/1,522.92 = 684.12/x
  3. Step 3: Cross multiply
    1,103.48x = 1,522.92 × 684.12
  4. Step 4: Simplify right side
    1,103.48x = 1,041,860.03
  5. Step 5: Solve for x
    x = 1,041,860.03/1,103.48
  6. Step 6: Final answer
    x = 944.16

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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.