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Finding the Fourth Proportional to 712.41, 1,066.70 and 671.46

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Solution

The fourth proportional to 712.41, 1,066.70 and 671.46 is: 1,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.41 : 1,066.70 = 671.46 : x
  2. Step 2: Convert to fraction form
    712.41/1,066.70 = 671.46/x
  3. Step 3: Cross multiply
    712.41x = 1,066.70 × 671.46
  4. Step 4: Simplify right side
    712.41x = 716,243.02
  5. Step 5: Solve for x
    x = 716,243.02/712.41
  6. Step 6: Final answer
    x = 1,005.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.