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Finding the Fourth Proportional to 698.97, 1,048.90 and 646.02

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Solution

The fourth proportional to 698.97, 1,048.90 and 646.02 is: 969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.97 : 1,048.90 = 646.02 : x
  2. Step 2: Convert to fraction form
    698.97/1,048.90 = 646.02/x
  3. Step 3: Cross multiply
    698.97x = 1,048.90 × 646.02
  4. Step 4: Simplify right side
    698.97x = 677,610.38
  5. Step 5: Solve for x
    x = 677,610.38/698.97
  6. Step 6: Final answer
    x = 969.44

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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.