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Finding the Fourth Proportional to 971.70, 1,338.03 and 830.76

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Solution

The fourth proportional to 971.70, 1,338.03 and 830.76 is: 1,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.70 : 1,338.03 = 830.76 : x
  2. Step 2: Convert to fraction form
    971.70/1,338.03 = 830.76/x
  3. Step 3: Cross multiply
    971.70x = 1,338.03 × 830.76
  4. Step 4: Simplify right side
    971.70x = 1,111,581.80
  5. Step 5: Solve for x
    x = 1,111,581.80/971.70
  6. Step 6: Final answer
    x = 1,143.96

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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.