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Finding the Fourth Proportional to 806.47, 1,112.87 and 452.36

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Solution

The fourth proportional to 806.47, 1,112.87 and 452.36 is: 624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.47 : 1,112.87 = 452.36 : x
  2. Step 2: Convert to fraction form
    806.47/1,112.87 = 452.36/x
  3. Step 3: Cross multiply
    806.47x = 1,112.87 × 452.36
  4. Step 4: Simplify right side
    806.47x = 503,415.61
  5. Step 5: Solve for x
    x = 503,415.61/806.47
  6. Step 6: Final answer
    x = 624.22

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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.