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Finding the Fourth Proportional to 773.82, 1,068.35 and 537.69

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Solution

The fourth proportional to 773.82, 1,068.35 and 537.69 is: 742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.82 : 1,068.35 = 537.69 : x
  2. Step 2: Convert to fraction form
    773.82/1,068.35 = 537.69/x
  3. Step 3: Cross multiply
    773.82x = 1,068.35 × 537.69
  4. Step 4: Simplify right side
    773.82x = 574,441.11
  5. Step 5: Solve for x
    x = 574,441.11/773.82
  6. Step 6: Final answer
    x = 742.34

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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.