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Finding the Fourth Proportional to 711.46, 981.75 and 449.47

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Solution

The fourth proportional to 711.46, 981.75 and 449.47 is: 620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.46 : 981.75 = 449.47 : x
  2. Step 2: Convert to fraction form
    711.46/981.75 = 449.47/x
  3. Step 3: Cross multiply
    711.46x = 981.75 × 449.47
  4. Step 4: Simplify right side
    711.46x = 441,267.17
  5. Step 5: Solve for x
    x = 441,267.17/711.46
  6. Step 6: Final answer
    x = 620.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.