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Finding the Fourth Proportional to 712.37, 1,072.96 and 661.68

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Solution

The fourth proportional to 712.37, 1,072.96 and 661.68 is: 996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.37 : 1,072.96 = 661.68 : x
  2. Step 2: Convert to fraction form
    712.37/1,072.96 = 661.68/x
  3. Step 3: Cross multiply
    712.37x = 1,072.96 × 661.68
  4. Step 4: Simplify right side
    712.37x = 709,954.52
  5. Step 5: Solve for x
    x = 709,954.52/712.37
  6. Step 6: Final answer
    x = 996.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.