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Finding the Fourth Proportional to 801.37, 1,195.07 and 766.54

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Solution

The fourth proportional to 801.37, 1,195.07 and 766.54 is: 1,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.37 : 1,195.07 = 766.54 : x
  2. Step 2: Convert to fraction form
    801.37/1,195.07 = 766.54/x
  3. Step 3: Cross multiply
    801.37x = 1,195.07 × 766.54
  4. Step 4: Simplify right side
    801.37x = 916,068.96
  5. Step 5: Solve for x
    x = 916,068.96/801.37
  6. Step 6: Final answer
    x = 1,143.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.