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Finding the Fourth Proportional to 712.25, 982.91 and 417.53

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Solution

The fourth proportional to 712.25, 982.91 and 417.53 is: 576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.25 : 982.91 = 417.53 : x
  2. Step 2: Convert to fraction form
    712.25/982.91 = 417.53/x
  3. Step 3: Cross multiply
    712.25x = 982.91 × 417.53
  4. Step 4: Simplify right side
    712.25x = 410,390.54
  5. Step 5: Solve for x
    x = 410,390.54/712.25
  6. Step 6: Final answer
    x = 576.19

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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.