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Finding the Fourth Proportional to 1,211.91, 1,672.14 and 714.18

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Solution

The fourth proportional to 1,211.91, 1,672.14 and 714.18 is: 985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.91 : 1,672.14 = 714.18 : x
  2. Step 2: Convert to fraction form
    1,211.91/1,672.14 = 714.18/x
  3. Step 3: Cross multiply
    1,211.91x = 1,672.14 × 714.18
  4. Step 4: Simplify right side
    1,211.91x = 1,194,208.95
  5. Step 5: Solve for x
    x = 1,194,208.95/1,211.91
  6. Step 6: Final answer
    x = 985.39

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Half scale
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Double scale
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1.5x scale

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.