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Finding the Fourth Proportional to 685.20, 1,021.86 and 583.14

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Solution

The fourth proportional to 685.20, 1,021.86 and 583.14 is: 869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.20 : 1,021.86 = 583.14 : x
  2. Step 2: Convert to fraction form
    685.20/1,021.86 = 583.14/x
  3. Step 3: Cross multiply
    685.20x = 1,021.86 × 583.14
  4. Step 4: Simplify right side
    685.20x = 595,887.44
  5. Step 5: Solve for x
    x = 595,887.44/685.20
  6. Step 6: Final answer
    x = 869.65

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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.