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Finding the Fourth Proportional to 1,191.13, 1,642.78 and 942.02

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Solution

The fourth proportional to 1,191.13, 1,642.78 and 942.02 is: 1,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.13 : 1,642.78 = 942.02 : x
  2. Step 2: Convert to fraction form
    1,191.13/1,642.78 = 942.02/x
  3. Step 3: Cross multiply
    1,191.13x = 1,642.78 × 942.02
  4. Step 4: Simplify right side
    1,191.13x = 1,547,531.62
  5. Step 5: Solve for x
    x = 1,547,531.62/1,191.13
  6. Step 6: Final answer
    x = 1,299.21

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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.