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Finding the Fourth Proportional to 806.61, 1,113.03 and 452.51

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Solution

The fourth proportional to 806.61, 1,113.03 and 452.51 is: 624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.61 : 1,113.03 = 452.51 : x
  2. Step 2: Convert to fraction form
    806.61/1,113.03 = 452.51/x
  3. Step 3: Cross multiply
    806.61x = 1,113.03 × 452.51
  4. Step 4: Simplify right side
    806.61x = 503,651.64
  5. Step 5: Solve for x
    x = 503,651.64/806.61
  6. Step 6: Final answer
    x = 624.41

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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.