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Finding the Fourth Proportional to 685.85, 1,026.35 and 604.85

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Solution

The fourth proportional to 685.85, 1,026.35 and 604.85 is: 905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.85 : 1,026.35 = 604.85 : x
  2. Step 2: Convert to fraction form
    685.85/1,026.35 = 604.85/x
  3. Step 3: Cross multiply
    685.85x = 1,026.35 × 604.85
  4. Step 4: Simplify right side
    685.85x = 620,789.61
  5. Step 5: Solve for x
    x = 620,789.61/685.85
  6. Step 6: Final answer
    x = 905.14

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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.