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Finding the Fourth Proportional to 805.05, 1,110.78 and 455.67

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Solution

The fourth proportional to 805.05, 1,110.78 and 455.67 is: 628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.05 : 1,110.78 = 455.67 : x
  2. Step 2: Convert to fraction form
    805.05/1,110.78 = 455.67/x
  3. Step 3: Cross multiply
    805.05x = 1,110.78 × 455.67
  4. Step 4: Simplify right side
    805.05x = 506,149.12
  5. Step 5: Solve for x
    x = 506,149.12/805.05
  6. Step 6: Final answer
    x = 628.72

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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.