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Finding the Fourth Proportional to 694.63, 1,040.28 and 385.72

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Solution

The fourth proportional to 694.63, 1,040.28 and 385.72 is: 577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.63 : 1,040.28 = 385.72 : x
  2. Step 2: Convert to fraction form
    694.63/1,040.28 = 385.72/x
  3. Step 3: Cross multiply
    694.63x = 1,040.28 × 385.72
  4. Step 4: Simplify right side
    694.63x = 401,252.75
  5. Step 5: Solve for x
    x = 401,252.75/694.63
  6. Step 6: Final answer
    x = 577.65

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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.