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Finding the Fourth Proportional to 690.20, 952.52 and 395.49

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Solution

The fourth proportional to 690.20, 952.52 and 395.49 is: 545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.20 : 952.52 = 395.49 : x
  2. Step 2: Convert to fraction form
    690.20/952.52 = 395.49/x
  3. Step 3: Cross multiply
    690.20x = 952.52 × 395.49
  4. Step 4: Simplify right side
    690.20x = 376,712.13
  5. Step 5: Solve for x
    x = 376,712.13/690.20
  6. Step 6: Final answer
    x = 545.80

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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.