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Finding the Fourth Proportional to 711.59, 980.37 and 534.26

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Solution

The fourth proportional to 711.59, 980.37 and 534.26 is: 736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.59 : 980.37 = 534.26 : x
  2. Step 2: Convert to fraction form
    711.59/980.37 = 534.26/x
  3. Step 3: Cross multiply
    711.59x = 980.37 × 534.26
  4. Step 4: Simplify right side
    711.59x = 523,767.57
  5. Step 5: Solve for x
    x = 523,767.57/711.59
  6. Step 6: Final answer
    x = 736.06

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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.