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Finding the Fourth Proportional to 991.64, 1,367.11 and 767.91

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Solution

The fourth proportional to 991.64, 1,367.11 and 767.91 is: 1,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.64 : 1,367.11 = 767.91 : x
  2. Step 2: Convert to fraction form
    991.64/1,367.11 = 767.91/x
  3. Step 3: Cross multiply
    991.64x = 1,367.11 × 767.91
  4. Step 4: Simplify right side
    991.64x = 1,049,823.53
  5. Step 5: Solve for x
    x = 1,049,823.53/991.64
  6. Step 6: Final answer
    x = 1,058.67

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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.