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Finding the Fourth Proportional to 710.91, 1,059.26 and 679.46

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Solution

The fourth proportional to 710.91, 1,059.26 and 679.46 is: 1,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.91 : 1,059.26 = 679.46 : x
  2. Step 2: Convert to fraction form
    710.91/1,059.26 = 679.46/x
  3. Step 3: Cross multiply
    710.91x = 1,059.26 × 679.46
  4. Step 4: Simplify right side
    710.91x = 719,716.11
  5. Step 5: Solve for x
    x = 719,716.11/710.91
  6. Step 6: Final answer
    x = 1,012.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.