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Finding the Fourth Proportional to 705.47, 973.55 and 394.97

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Solution

The fourth proportional to 705.47, 973.55 and 394.97 is: 545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.47 : 973.55 = 394.97 : x
  2. Step 2: Convert to fraction form
    705.47/973.55 = 394.97/x
  3. Step 3: Cross multiply
    705.47x = 973.55 × 394.97
  4. Step 4: Simplify right side
    705.47x = 384,516.20
  5. Step 5: Solve for x
    x = 384,516.20/705.47
  6. Step 6: Final answer
    x = 545.05

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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.