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Finding the Fourth Proportional to 711.91, 982.38 and 397.08

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Solution

The fourth proportional to 711.91, 982.38 and 397.08 is: 547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.91 : 982.38 = 397.08 : x
  2. Step 2: Convert to fraction form
    711.91/982.38 = 397.08/x
  3. Step 3: Cross multiply
    711.91x = 982.38 × 397.08
  4. Step 4: Simplify right side
    711.91x = 390,082.46
  5. Step 5: Solve for x
    x = 390,082.46/711.91
  6. Step 6: Final answer
    x = 547.93

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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.