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Finding the Fourth Proportional to 934.13, 1,398.97 and 543.31

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Solution

The fourth proportional to 934.13, 1,398.97 and 543.31 is: 813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.13 : 1,398.97 = 543.31 : x
  2. Step 2: Convert to fraction form
    934.13/1,398.97 = 543.31/x
  3. Step 3: Cross multiply
    934.13x = 1,398.97 × 543.31
  4. Step 4: Simplify right side
    934.13x = 760,074.39
  5. Step 5: Solve for x
    x = 760,074.39/934.13
  6. Step 6: Final answer
    x = 813.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.