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Finding the Fourth Proportional to 712.36, 982.83 and 417.62

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Solution

The fourth proportional to 712.36, 982.83 and 417.62 is: 576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 982.83 = 417.62 : x
  2. Step 2: Convert to fraction form
    712.36/982.83 = 417.62/x
  3. Step 3: Cross multiply
    712.36x = 982.83 × 417.62
  4. Step 4: Simplify right side
    712.36x = 410,449.46
  5. Step 5: Solve for x
    x = 410,449.46/712.36
  6. Step 6: Final answer
    x = 576.18

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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.