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Finding the Fourth Proportional to 805.13, 1,110.76 and 455.75

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Solution

The fourth proportional to 805.13, 1,110.76 and 455.75 is: 628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.13 : 1,110.76 = 455.75 : x
  2. Step 2: Convert to fraction form
    805.13/1,110.76 = 455.75/x
  3. Step 3: Cross multiply
    805.13x = 1,110.76 × 455.75
  4. Step 4: Simplify right side
    805.13x = 506,228.87
  5. Step 5: Solve for x
    x = 506,228.87/805.13
  6. Step 6: Final answer
    x = 628.75

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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.