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Finding the Fourth Proportional to 698.21, 1,047.49 and 493.18

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Solution

The fourth proportional to 698.21, 1,047.49 and 493.18 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.21 : 1,047.49 = 493.18 : x
  2. Step 2: Convert to fraction form
    698.21/1,047.49 = 493.18/x
  3. Step 3: Cross multiply
    698.21x = 1,047.49 × 493.18
  4. Step 4: Simplify right side
    698.21x = 516,601.12
  5. Step 5: Solve for x
    x = 516,601.12/698.21
  6. Step 6: Final answer
    x = 739.89

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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.