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Finding the Fourth Proportional to 1,211.34, 1,671.26 and 818.58

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Solution

The fourth proportional to 1,211.34, 1,671.26 and 818.58 is: 1,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.34 : 1,671.26 = 818.58 : x
  2. Step 2: Convert to fraction form
    1,211.34/1,671.26 = 818.58/x
  3. Step 3: Cross multiply
    1,211.34x = 1,671.26 × 818.58
  4. Step 4: Simplify right side
    1,211.34x = 1,368,060.01
  5. Step 5: Solve for x
    x = 1,368,060.01/1,211.34
  6. Step 6: Final answer
    x = 1,129.38

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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.