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Finding the Fourth Proportional to 705.67, 974.30 and 440.21

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Solution

The fourth proportional to 705.67, 974.30 and 440.21 is: 607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.67 : 974.30 = 440.21 : x
  2. Step 2: Convert to fraction form
    705.67/974.30 = 440.21/x
  3. Step 3: Cross multiply
    705.67x = 974.30 × 440.21
  4. Step 4: Simplify right side
    705.67x = 428,896.60
  5. Step 5: Solve for x
    x = 428,896.60/705.67
  6. Step 6: Final answer
    x = 607.79

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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.