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Finding the Fourth Proportional to 705.49, 973.57 and 394.99

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Solution

The fourth proportional to 705.49, 973.57 and 394.99 is: 545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.49 : 973.57 = 394.99 : x
  2. Step 2: Convert to fraction form
    705.49/973.57 = 394.99/x
  3. Step 3: Cross multiply
    705.49x = 973.57 × 394.99
  4. Step 4: Simplify right side
    705.49x = 384,543.57
  5. Step 5: Solve for x
    x = 384,543.57/705.49
  6. Step 6: Final answer
    x = 545.08

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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.