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Finding the Fourth Proportional to 685.08, 1,025.10 and 604.89

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Solution

The fourth proportional to 685.08, 1,025.10 and 604.89 is: 905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.08 : 1,025.10 = 604.89 : x
  2. Step 2: Convert to fraction form
    685.08/1,025.10 = 604.89/x
  3. Step 3: Cross multiply
    685.08x = 1,025.10 × 604.89
  4. Step 4: Simplify right side
    685.08x = 620,072.74
  5. Step 5: Solve for x
    x = 620,072.74/685.08
  6. Step 6: Final answer
    x = 905.11

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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.