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Finding the Fourth Proportional to 912.11, 1,257.80 and 580.41

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Solution

The fourth proportional to 912.11, 1,257.80 and 580.41 is: 800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.11 : 1,257.80 = 580.41 : x
  2. Step 2: Convert to fraction form
    912.11/1,257.80 = 580.41/x
  3. Step 3: Cross multiply
    912.11x = 1,257.80 × 580.41
  4. Step 4: Simplify right side
    912.11x = 730,041.15
  5. Step 5: Solve for x
    x = 730,041.15/912.11
  6. Step 6: Final answer
    x = 800.39

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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.