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Finding the Fourth Proportional to 678.92, 1,013.16 and 606

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Solution

The fourth proportional to 678.92, 1,013.16 and 606 is: 904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.92 : 1,013.16 = 606 : x
  2. Step 2: Convert to fraction form
    678.92/1,013.16 = 606/x
  3. Step 3: Cross multiply
    678.92x = 1,013.16 × 606
  4. Step 4: Simplify right side
    678.92x = 613,974.96
  5. Step 5: Solve for x
    x = 613,974.96/678.92
  6. Step 6: Final answer
    x = 904.34

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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.