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Finding the Fourth Proportional to 708.22, 976.89 and 445.78

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Solution

The fourth proportional to 708.22, 976.89 and 445.78 is: 614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.22 : 976.89 = 445.78 : x
  2. Step 2: Convert to fraction form
    708.22/976.89 = 445.78/x
  3. Step 3: Cross multiply
    708.22x = 976.89 × 445.78
  4. Step 4: Simplify right side
    708.22x = 435,478.02
  5. Step 5: Solve for x
    x = 435,478.02/708.22
  6. Step 6: Final answer
    x = 614.89

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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.