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Finding the Fourth Proportional to 710.73, 1,064.56 and 344.75

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Solution

The fourth proportional to 710.73, 1,064.56 and 344.75 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.73 : 1,064.56 = 344.75 : x
  2. Step 2: Convert to fraction form
    710.73/1,064.56 = 344.75/x
  3. Step 3: Cross multiply
    710.73x = 1,064.56 × 344.75
  4. Step 4: Simplify right side
    710.73x = 367,005.34
  5. Step 5: Solve for x
    x = 367,005.34/710.73
  6. Step 6: Final answer
    x = 516.38

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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.