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Finding the Fourth Proportional to 712.00, 982.49 and 417.26

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Solution

The fourth proportional to 712.00, 982.49 and 417.26 is: 575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.00 : 982.49 = 417.26 : x
  2. Step 2: Convert to fraction form
    712.00/982.49 = 417.26/x
  3. Step 3: Cross multiply
    712.00x = 982.49 × 417.26
  4. Step 4: Simplify right side
    712.00x = 409,953.78
  5. Step 5: Solve for x
    x = 409,953.78/712.00
  6. Step 6: Final answer
    x = 575.78

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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.