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Finding the Fourth Proportional to 690.39, 952.71 and 395.65

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Solution

The fourth proportional to 690.39, 952.71 and 395.65 is: 545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.39 : 952.71 = 395.65 : x
  2. Step 2: Convert to fraction form
    690.39/952.71 = 395.65/x
  3. Step 3: Cross multiply
    690.39x = 952.71 × 395.65
  4. Step 4: Simplify right side
    690.39x = 376,937.62
  5. Step 5: Solve for x
    x = 376,937.62/690.39
  6. Step 6: Final answer
    x = 545.98

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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.