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Finding the Fourth Proportional to 806.44, 1,207.71 and 458.72

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Solution

The fourth proportional to 806.44, 1,207.71 and 458.72 is: 686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.44 : 1,207.71 = 458.72 : x
  2. Step 2: Convert to fraction form
    806.44/1,207.71 = 458.72/x
  3. Step 3: Cross multiply
    806.44x = 1,207.71 × 458.72
  4. Step 4: Simplify right side
    806.44x = 553,996.12
  5. Step 5: Solve for x
    x = 553,996.12/806.44
  6. Step 6: Final answer
    x = 686.97

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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.