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Finding the Fourth Proportional to 705.94, 974.14 and 395.38

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Solution

The fourth proportional to 705.94, 974.14 and 395.38 is: 545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 974.14 = 395.38 : x
  2. Step 2: Convert to fraction form
    705.94/974.14 = 395.38/x
  3. Step 3: Cross multiply
    705.94x = 974.14 × 395.38
  4. Step 4: Simplify right side
    705.94x = 385,155.47
  5. Step 5: Solve for x
    x = 385,155.47/705.94
  6. Step 6: Final answer
    x = 545.59

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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.