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Finding the Fourth Proportional to 805.41, 1,110.78 and 583.74

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Solution

The fourth proportional to 805.41, 1,110.78 and 583.74 is: 805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.41 : 1,110.78 = 583.74 : x
  2. Step 2: Convert to fraction form
    805.41/1,110.78 = 583.74/x
  3. Step 3: Cross multiply
    805.41x = 1,110.78 × 583.74
  4. Step 4: Simplify right side
    805.41x = 648,406.72
  5. Step 5: Solve for x
    x = 648,406.72/805.41
  6. Step 6: Final answer
    x = 805.06

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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.