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Finding the Fourth Proportional to 1,181.12, 1,630.29 and 684.08

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Solution

The fourth proportional to 1,181.12, 1,630.29 and 684.08 is: 944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.12 : 1,630.29 = 684.08 : x
  2. Step 2: Convert to fraction form
    1,181.12/1,630.29 = 684.08/x
  3. Step 3: Cross multiply
    1,181.12x = 1,630.29 × 684.08
  4. Step 4: Simplify right side
    1,181.12x = 1,115,248.78
  5. Step 5: Solve for x
    x = 1,115,248.78/1,181.12
  6. Step 6: Final answer
    x = 944.23

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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.