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Finding the Fourth Proportional to 705.46, 973.09 and 440.03

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Solution

The fourth proportional to 705.46, 973.09 and 440.03 is: 606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.46 : 973.09 = 440.03 : x
  2. Step 2: Convert to fraction form
    705.46/973.09 = 440.03/x
  3. Step 3: Cross multiply
    705.46x = 973.09 × 440.03
  4. Step 4: Simplify right side
    705.46x = 428,188.79
  5. Step 5: Solve for x
    x = 428,188.79/705.46
  6. Step 6: Final answer
    x = 606.96

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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.