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Finding the Fourth Proportional to 473.21, 705.63 and 440.33

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Solution

The fourth proportional to 473.21, 705.63 and 440.33 is: 656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.21 : 705.63 = 440.33 : x
  2. Step 2: Convert to fraction form
    473.21/705.63 = 440.33/x
  3. Step 3: Cross multiply
    473.21x = 705.63 × 440.33
  4. Step 4: Simplify right side
    473.21x = 310,710.06
  5. Step 5: Solve for x
    x = 310,710.06/473.21
  6. Step 6: Final answer
    x = 656.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.