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Finding the Fourth Proportional to 1,211.34, 1,671.68 and 714

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Solution

The fourth proportional to 1,211.34, 1,671.68 and 714 is: 985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.34 : 1,671.68 = 714 : x
  2. Step 2: Convert to fraction form
    1,211.34/1,671.68 = 714/x
  3. Step 3: Cross multiply
    1,211.34x = 1,671.68 × 714
  4. Step 4: Simplify right side
    1,211.34x = 1,193,579.52
  5. Step 5: Solve for x
    x = 1,193,579.52/1,211.34
  6. Step 6: Final answer
    x = 985.34

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.