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Finding the Fourth Proportional to 712.41, 1,072.41 and 645.45

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Solution

The fourth proportional to 712.41, 1,072.41 and 645.45 is: 971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.41 : 1,072.41 = 645.45 : x
  2. Step 2: Convert to fraction form
    712.41/1,072.41 = 645.45/x
  3. Step 3: Cross multiply
    712.41x = 1,072.41 × 645.45
  4. Step 4: Simplify right side
    712.41x = 692,187.03
  5. Step 5: Solve for x
    x = 692,187.03/712.41
  6. Step 6: Final answer
    x = 971.61

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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.