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Finding the Fourth Proportional to 805.09, 1,111.06 and 455.78

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Solution

The fourth proportional to 805.09, 1,111.06 and 455.78 is: 629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.09 : 1,111.06 = 455.78 : x
  2. Step 2: Convert to fraction form
    805.09/1,111.06 = 455.78/x
  3. Step 3: Cross multiply
    805.09x = 1,111.06 × 455.78
  4. Step 4: Simplify right side
    805.09x = 506,398.93
  5. Step 5: Solve for x
    x = 506,398.93/805.09
  6. Step 6: Final answer
    x = 629.00

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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.