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Finding the Fourth Proportional to 698.49, 1,047.61 and 204.92

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Solution

The fourth proportional to 698.49, 1,047.61 and 204.92 is: 307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.49 : 1,047.61 = 204.92 : x
  2. Step 2: Convert to fraction form
    698.49/1,047.61 = 204.92/x
  3. Step 3: Cross multiply
    698.49x = 1,047.61 × 204.92
  4. Step 4: Simplify right side
    698.49x = 214,676.24
  5. Step 5: Solve for x
    x = 214,676.24/698.49
  6. Step 6: Final answer
    x = 307.34

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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.