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Finding the Fourth Proportional to 710.19, 1,064.22 and 344.21

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Solution

The fourth proportional to 710.19, 1,064.22 and 344.21 is: 515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.19 : 1,064.22 = 344.21 : x
  2. Step 2: Convert to fraction form
    710.19/1,064.22 = 344.21/x
  3. Step 3: Cross multiply
    710.19x = 1,064.22 × 344.21
  4. Step 4: Simplify right side
    710.19x = 366,309.85
  5. Step 5: Solve for x
    x = 366,309.85/710.19
  6. Step 6: Final answer
    x = 515.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.