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Finding the Fourth Proportional to 698.69, 963.80 and 499.57

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Solution

The fourth proportional to 698.69, 963.80 and 499.57 is: 689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.69 : 963.80 = 499.57 : x
  2. Step 2: Convert to fraction form
    698.69/963.80 = 499.57/x
  3. Step 3: Cross multiply
    698.69x = 963.80 × 499.57
  4. Step 4: Simplify right side
    698.69x = 481,485.57
  5. Step 5: Solve for x
    x = 481,485.57/698.69
  6. Step 6: Final answer
    x = 689.13

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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.