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Finding the Fourth Proportional to 711.15, 1,065.03 and 344.76

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Solution

The fourth proportional to 711.15, 1,065.03 and 344.76 is: 516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.15 : 1,065.03 = 344.76 : x
  2. Step 2: Convert to fraction form
    711.15/1,065.03 = 344.76/x
  3. Step 3: Cross multiply
    711.15x = 1,065.03 × 344.76
  4. Step 4: Simplify right side
    711.15x = 367,179.74
  5. Step 5: Solve for x
    x = 367,179.74/711.15
  6. Step 6: Final answer
    x = 516.32

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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.