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Finding the Fourth Proportional to 711.76, 982.12 and 417

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Solution

The fourth proportional to 711.76, 982.12 and 417 is: 575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.76 : 982.12 = 417 : x
  2. Step 2: Convert to fraction form
    711.76/982.12 = 417/x
  3. Step 3: Cross multiply
    711.76x = 982.12 × 417
  4. Step 4: Simplify right side
    711.76x = 409,544.04
  5. Step 5: Solve for x
    x = 409,544.04/711.76
  6. Step 6: Final answer
    x = 575.40

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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.