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Finding the Fourth Proportional to 711.34, 980.79 and 593.48

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Solution

The fourth proportional to 711.34, 980.79 and 593.48 is: 818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.34 : 980.79 = 593.48 : x
  2. Step 2: Convert to fraction form
    711.34/980.79 = 593.48/x
  3. Step 3: Cross multiply
    711.34x = 980.79 × 593.48
  4. Step 4: Simplify right side
    711.34x = 582,079.25
  5. Step 5: Solve for x
    x = 582,079.25/711.34
  6. Step 6: Final answer
    x = 818.29

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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.