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Finding the Fourth Proportional to 710.72, 981.41 and 445.61

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Solution

The fourth proportional to 710.72, 981.41 and 445.61 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.72 : 981.41 = 445.61 : x
  2. Step 2: Convert to fraction form
    710.72/981.41 = 445.61/x
  3. Step 3: Cross multiply
    710.72x = 981.41 × 445.61
  4. Step 4: Simplify right side
    710.72x = 437,326.34
  5. Step 5: Solve for x
    x = 437,326.34/710.72
  6. Step 6: Final answer
    x = 615.33

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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.