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Finding the Fourth Proportional to 806.95, 1,115.40 and 746.74

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Solution

The fourth proportional to 806.95, 1,115.40 and 746.74 is: 1,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.95 : 1,115.40 = 746.74 : x
  2. Step 2: Convert to fraction form
    806.95/1,115.40 = 746.74/x
  3. Step 3: Cross multiply
    806.95x = 1,115.40 × 746.74
  4. Step 4: Simplify right side
    806.95x = 832,913.80
  5. Step 5: Solve for x
    x = 832,913.80/806.95
  6. Step 6: Final answer
    x = 1,032.18

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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.