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Finding the Fourth Proportional to 712.17, 982.73 and 409.34

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Solution

The fourth proportional to 712.17, 982.73 and 409.34 is: 564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.17 : 982.73 = 409.34 : x
  2. Step 2: Convert to fraction form
    712.17/982.73 = 409.34/x
  3. Step 3: Cross multiply
    712.17x = 982.73 × 409.34
  4. Step 4: Simplify right side
    712.17x = 402,263.74
  5. Step 5: Solve for x
    x = 402,263.74/712.17
  6. Step 6: Final answer
    x = 564.84

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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.