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Finding the Fourth Proportional to 694.16, 1,038.36 and 521.36

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Solution

The fourth proportional to 694.16, 1,038.36 and 521.36 is: 779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.16 : 1,038.36 = 521.36 : x
  2. Step 2: Convert to fraction form
    694.16/1,038.36 = 521.36/x
  3. Step 3: Cross multiply
    694.16x = 1,038.36 × 521.36
  4. Step 4: Simplify right side
    694.16x = 541,359.37
  5. Step 5: Solve for x
    x = 541,359.37/694.16
  6. Step 6: Final answer
    x = 779.88

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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.