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Finding the Fourth Proportional to 855.68, 1,281.68 and 580.26

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Solution

The fourth proportional to 855.68, 1,281.68 and 580.26 is: 869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.68 : 1,281.68 = 580.26 : x
  2. Step 2: Convert to fraction form
    855.68/1,281.68 = 580.26/x
  3. Step 3: Cross multiply
    855.68x = 1,281.68 × 580.26
  4. Step 4: Simplify right side
    855.68x = 743,707.64
  5. Step 5: Solve for x
    x = 743,707.64/855.68
  6. Step 6: Final answer
    x = 869.14

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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.