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Finding the Fourth Proportional to 711.09, 1,065.63 and 299.73

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Solution

The fourth proportional to 711.09, 1,065.63 and 299.73 is: 449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.09 : 1,065.63 = 299.73 : x
  2. Step 2: Convert to fraction form
    711.09/1,065.63 = 299.73/x
  3. Step 3: Cross multiply
    711.09x = 1,065.63 × 299.73
  4. Step 4: Simplify right side
    711.09x = 319,401.28
  5. Step 5: Solve for x
    x = 319,401.28/711.09
  6. Step 6: Final answer
    x = 449.17

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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.