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Finding the Fourth Proportional to 805.95, 1,207.56 and 600.93

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Solution

The fourth proportional to 805.95, 1,207.56 and 600.93 is: 900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.95 : 1,207.56 = 600.93 : x
  2. Step 2: Convert to fraction form
    805.95/1,207.56 = 600.93/x
  3. Step 3: Cross multiply
    805.95x = 1,207.56 × 600.93
  4. Step 4: Simplify right side
    805.95x = 725,659.03
  5. Step 5: Solve for x
    x = 725,659.03/805.95
  6. Step 6: Final answer
    x = 900.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.