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Finding the Fourth Proportional to 970.82, 1,337.38 and 721.71

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Solution

The fourth proportional to 970.82, 1,337.38 and 721.71 is: 994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.82 : 1,337.38 = 721.71 : x
  2. Step 2: Convert to fraction form
    970.82/1,337.38 = 721.71/x
  3. Step 3: Cross multiply
    970.82x = 1,337.38 × 721.71
  4. Step 4: Simplify right side
    970.82x = 965,200.52
  5. Step 5: Solve for x
    x = 965,200.52/970.82
  6. Step 6: Final answer
    x = 994.21

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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.