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Finding the Fourth Proportional to 785.81, 1,177.40 and 579.26

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Solution

The fourth proportional to 785.81, 1,177.40 and 579.26 is: 867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.81 : 1,177.40 = 579.26 : x
  2. Step 2: Convert to fraction form
    785.81/1,177.40 = 579.26/x
  3. Step 3: Cross multiply
    785.81x = 1,177.40 × 579.26
  4. Step 4: Simplify right side
    785.81x = 682,025.12
  5. Step 5: Solve for x
    x = 682,025.12/785.81
  6. Step 6: Final answer
    x = 867.92

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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.