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Finding the Fourth Proportional to 1,171.11, 1,615.37 and 821.19

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Solution

The fourth proportional to 1,171.11, 1,615.37 and 821.19 is: 1,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.11 : 1,615.37 = 821.19 : x
  2. Step 2: Convert to fraction form
    1,171.11/1,615.37 = 821.19/x
  3. Step 3: Cross multiply
    1,171.11x = 1,615.37 × 821.19
  4. Step 4: Simplify right side
    1,171.11x = 1,326,521.58
  5. Step 5: Solve for x
    x = 1,326,521.58/1,171.11
  6. Step 6: Final answer
    x = 1,132.70

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Half scale
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Double scale
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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.