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Finding the Fourth Proportional to 1,186.04, 1,781.12 and 702.14

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Solution

The fourth proportional to 1,186.04, 1,781.12 and 702.14 is: 1,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.04 : 1,781.12 = 702.14 : x
  2. Step 2: Convert to fraction form
    1,186.04/1,781.12 = 702.14/x
  3. Step 3: Cross multiply
    1,186.04x = 1,781.12 × 702.14
  4. Step 4: Simplify right side
    1,186.04x = 1,250,588.45
  5. Step 5: Solve for x
    x = 1,250,588.45/1,186.04
  6. Step 6: Final answer
    x = 1,054.42

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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.