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Finding the Fourth Proportional to 705.83, 973.63 and 443.39

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Solution

The fourth proportional to 705.83, 973.63 and 443.39 is: 611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.83 : 973.63 = 443.39 : x
  2. Step 2: Convert to fraction form
    705.83/973.63 = 443.39/x
  3. Step 3: Cross multiply
    705.83x = 973.63 × 443.39
  4. Step 4: Simplify right side
    705.83x = 431,697.81
  5. Step 5: Solve for x
    x = 431,697.81/705.83
  6. Step 6: Final answer
    x = 611.62

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Half scale
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Double scale
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1.5x scale

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.