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Finding the Fourth Proportional to 711.38, 982.91 and 511.82

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Solution

The fourth proportional to 711.38, 982.91 and 511.82 is: 707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.38 : 982.91 = 511.82 : x
  2. Step 2: Convert to fraction form
    711.38/982.91 = 511.82/x
  3. Step 3: Cross multiply
    711.38x = 982.91 × 511.82
  4. Step 4: Simplify right side
    711.38x = 503,070.08
  5. Step 5: Solve for x
    x = 503,070.08/711.38
  6. Step 6: Final answer
    x = 707.17

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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.