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Finding the Fourth Proportional to 690.94, 952.24 and 504.13

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Solution

The fourth proportional to 690.94, 952.24 and 504.13 is: 694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.94 : 952.24 = 504.13 : x
  2. Step 2: Convert to fraction form
    690.94/952.24 = 504.13/x
  3. Step 3: Cross multiply
    690.94x = 952.24 × 504.13
  4. Step 4: Simplify right side
    690.94x = 480,052.75
  5. Step 5: Solve for x
    x = 480,052.75/690.94
  6. Step 6: Final answer
    x = 694.78

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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.