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Finding the Fourth Proportional to 698.83, 963.40 and 499.61

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Solution

The fourth proportional to 698.83, 963.40 and 499.61 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.83 : 963.40 = 499.61 : x
  2. Step 2: Convert to fraction form
    698.83/963.40 = 499.61/x
  3. Step 3: Cross multiply
    698.83x = 963.40 × 499.61
  4. Step 4: Simplify right side
    698.83x = 481,326.04
  5. Step 5: Solve for x
    x = 481,326.04/698.83
  6. Step 6: Final answer
    x = 688.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.