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Finding the Fourth Proportional to 838.11, 1,155.81 and 542.88

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Solution

The fourth proportional to 838.11, 1,155.81 and 542.88 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.11 : 1,155.81 = 542.88 : x
  2. Step 2: Convert to fraction form
    838.11/1,155.81 = 542.88/x
  3. Step 3: Cross multiply
    838.11x = 1,155.81 × 542.88
  4. Step 4: Simplify right side
    838.11x = 627,466.13
  5. Step 5: Solve for x
    x = 627,466.13/838.11
  6. Step 6: Final answer
    x = 748.67

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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.