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Finding the Fourth Proportional to 711.77, 982.46 and 417.11

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Solution

The fourth proportional to 711.77, 982.46 and 417.11 is: 575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.77 : 982.46 = 417.11 : x
  2. Step 2: Convert to fraction form
    711.77/982.46 = 417.11/x
  3. Step 3: Cross multiply
    711.77x = 982.46 × 417.11
  4. Step 4: Simplify right side
    711.77x = 409,791.81
  5. Step 5: Solve for x
    x = 409,791.81/711.77
  6. Step 6: Final answer
    x = 575.74

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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.