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Finding the Fourth Proportional to 806.98, 1,113.64 and 452.98

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Solution

The fourth proportional to 806.98, 1,113.64 and 452.98 is: 625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.98 : 1,113.64 = 452.98 : x
  2. Step 2: Convert to fraction form
    806.98/1,113.64 = 452.98/x
  3. Step 3: Cross multiply
    806.98x = 1,113.64 × 452.98
  4. Step 4: Simplify right side
    806.98x = 504,451.92
  5. Step 5: Solve for x
    x = 504,451.92/806.98
  6. Step 6: Final answer
    x = 625.11

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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.