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Finding the Fourth Proportional to 1,151.39, 1,588.34 and 871.67

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Solution

The fourth proportional to 1,151.39, 1,588.34 and 871.67 is: 1,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.39 : 1,588.34 = 871.67 : x
  2. Step 2: Convert to fraction form
    1,151.39/1,588.34 = 871.67/x
  3. Step 3: Cross multiply
    1,151.39x = 1,588.34 × 871.67
  4. Step 4: Simplify right side
    1,151.39x = 1,384,503.97
  5. Step 5: Solve for x
    x = 1,384,503.97/1,151.39
  6. Step 6: Final answer
    x = 1,202.46

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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.