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Finding the Fourth Proportional to 1,179.08, 1,759.84 and 1,013.84

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Solution

The fourth proportional to 1,179.08, 1,759.84 and 1,013.84 is: 1,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.08 : 1,759.84 = 1,013.84 : x
  2. Step 2: Convert to fraction form
    1,179.08/1,759.84 = 1,013.84/x
  3. Step 3: Cross multiply
    1,179.08x = 1,759.84 × 1,013.84
  4. Step 4: Simplify right side
    1,179.08x = 1,784,196.19
  5. Step 5: Solve for x
    x = 1,784,196.19/1,179.08
  6. Step 6: Final answer
    x = 1,513.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.