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Finding the Fourth Proportional to 704.60, 965.07 and 664.72

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Solution

The fourth proportional to 704.60, 965.07 and 664.72 is: 910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.60 : 965.07 = 664.72 : x
  2. Step 2: Convert to fraction form
    704.60/965.07 = 664.72/x
  3. Step 3: Cross multiply
    704.60x = 965.07 × 664.72
  4. Step 4: Simplify right side
    704.60x = 641,501.33
  5. Step 5: Solve for x
    x = 641,501.33/704.60
  6. Step 6: Final answer
    x = 910.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.