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Finding the Fourth Proportional to 705.19, 973.03 and 443.06

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Solution

The fourth proportional to 705.19, 973.03 and 443.06 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.19 : 973.03 = 443.06 : x
  2. Step 2: Convert to fraction form
    705.19/973.03 = 443.06/x
  3. Step 3: Cross multiply
    705.19x = 973.03 × 443.06
  4. Step 4: Simplify right side
    705.19x = 431,103.87
  5. Step 5: Solve for x
    x = 431,103.87/705.19
  6. Step 6: Final answer
    x = 611.33

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Half scale
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Double scale
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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.