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Finding the Fourth Proportional to 805.79, 1,111.97 and 456.48

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Solution

The fourth proportional to 805.79, 1,111.97 and 456.48 is: 629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.79 : 1,111.97 = 456.48 : x
  2. Step 2: Convert to fraction form
    805.79/1,111.97 = 456.48/x
  3. Step 3: Cross multiply
    805.79x = 1,111.97 × 456.48
  4. Step 4: Simplify right side
    805.79x = 507,593.21
  5. Step 5: Solve for x
    x = 507,593.21/805.79
  6. Step 6: Final answer
    x = 629.93

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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.