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Finding the Fourth Proportional to 712.20, 982.51 and 417.34

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Solution

The fourth proportional to 712.20, 982.51 and 417.34 is: 575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.20 : 982.51 = 417.34 : x
  2. Step 2: Convert to fraction form
    712.20/982.51 = 417.34/x
  3. Step 3: Cross multiply
    712.20x = 982.51 × 417.34
  4. Step 4: Simplify right side
    712.20x = 410,040.72
  5. Step 5: Solve for x
    x = 410,040.72/712.20
  6. Step 6: Final answer
    x = 575.74

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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.