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Finding the Fourth Proportional to 712.55, 982.82 and 417.88

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Solution

The fourth proportional to 712.55, 982.82 and 417.88 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.55 : 982.82 = 417.88 : x
  2. Step 2: Convert to fraction form
    712.55/982.82 = 417.88/x
  3. Step 3: Cross multiply
    712.55x = 982.82 × 417.88
  4. Step 4: Simplify right side
    712.55x = 410,693.82
  5. Step 5: Solve for x
    x = 410,693.82/712.55
  6. Step 6: Final answer
    x = 576.37

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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.