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Finding the Fourth Proportional to 694.89, 959.23 and 474.07

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Solution

The fourth proportional to 694.89, 959.23 and 474.07 is: 654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.89 : 959.23 = 474.07 : x
  2. Step 2: Convert to fraction form
    694.89/959.23 = 474.07/x
  3. Step 3: Cross multiply
    694.89x = 959.23 × 474.07
  4. Step 4: Simplify right side
    694.89x = 454,742.17
  5. Step 5: Solve for x
    x = 454,742.17/694.89
  6. Step 6: Final answer
    x = 654.41

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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.