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Finding the Fourth Proportional to 690.74, 952.74 and 441.95

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Solution

The fourth proportional to 690.74, 952.74 and 441.95 is: 609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.74 : 952.74 = 441.95 : x
  2. Step 2: Convert to fraction form
    690.74/952.74 = 441.95/x
  3. Step 3: Cross multiply
    690.74x = 952.74 × 441.95
  4. Step 4: Simplify right side
    690.74x = 421,058.68
  5. Step 5: Solve for x
    x = 421,058.68/690.74
  6. Step 6: Final answer
    x = 609.58

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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.