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Finding the Fourth Proportional to 805.06, 1,110.98 and 455.75

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Solution

The fourth proportional to 805.06, 1,110.98 and 455.75 is: 628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.06 : 1,110.98 = 455.75 : x
  2. Step 2: Convert to fraction form
    805.06/1,110.98 = 455.75/x
  3. Step 3: Cross multiply
    805.06x = 1,110.98 × 455.75
  4. Step 4: Simplify right side
    805.06x = 506,329.14
  5. Step 5: Solve for x
    x = 506,329.14/805.06
  6. Step 6: Final answer
    x = 628.93

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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.