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Finding the Fourth Proportional to 805.30, 1,111.33 and 451.20

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Solution

The fourth proportional to 805.30, 1,111.33 and 451.20 is: 622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.30 : 1,111.33 = 451.20 : x
  2. Step 2: Convert to fraction form
    805.30/1,111.33 = 451.20/x
  3. Step 3: Cross multiply
    805.30x = 1,111.33 × 451.20
  4. Step 4: Simplify right side
    805.30x = 501,432.10
  5. Step 5: Solve for x
    x = 501,432.10/805.30
  6. Step 6: Final answer
    x = 622.66

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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.