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Finding the Fourth Proportional to 712.13, 982.19 and 491.45

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Solution

The fourth proportional to 712.13, 982.19 and 491.45 is: 677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 982.19 = 491.45 : x
  2. Step 2: Convert to fraction form
    712.13/982.19 = 491.45/x
  3. Step 3: Cross multiply
    712.13x = 982.19 × 491.45
  4. Step 4: Simplify right side
    712.13x = 482,692.36
  5. Step 5: Solve for x
    x = 482,692.36/712.13
  6. Step 6: Final answer
    x = 677.82

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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.