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Finding the Fourth Proportional to 698.63, 1,045.64 and 674.03

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Solution

The fourth proportional to 698.63, 1,045.64 and 674.03 is: 1,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.63 : 1,045.64 = 674.03 : x
  2. Step 2: Convert to fraction form
    698.63/1,045.64 = 674.03/x
  3. Step 3: Cross multiply
    698.63x = 1,045.64 × 674.03
  4. Step 4: Simplify right side
    698.63x = 704,792.73
  5. Step 5: Solve for x
    x = 704,792.73/698.63
  6. Step 6: Final answer
    x = 1,008.82

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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.