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Finding the Fourth Proportional to 694.48, 1,040.24 and 521.40

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Solution

The fourth proportional to 694.48, 1,040.24 and 521.40 is: 780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.48 : 1,040.24 = 521.40 : x
  2. Step 2: Convert to fraction form
    694.48/1,040.24 = 521.40/x
  3. Step 3: Cross multiply
    694.48x = 1,040.24 × 521.40
  4. Step 4: Simplify right side
    694.48x = 542,381.14
  5. Step 5: Solve for x
    x = 542,381.14/694.48
  6. Step 6: Final answer
    x = 780.99

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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.