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Finding the Fourth Proportional to 710.40, 1,065.73 and 223.59

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Solution

The fourth proportional to 710.40, 1,065.73 and 223.59 is: 335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.40 : 1,065.73 = 223.59 : x
  2. Step 2: Convert to fraction form
    710.40/1,065.73 = 223.59/x
  3. Step 3: Cross multiply
    710.40x = 1,065.73 × 223.59
  4. Step 4: Simplify right side
    710.40x = 238,286.57
  5. Step 5: Solve for x
    x = 238,286.57/710.40
  6. Step 6: Final answer
    x = 335.43

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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.