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Finding the Fourth Proportional to 698.45, 958.80 and 600.03

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Solution

The fourth proportional to 698.45, 958.80 and 600.03 is: 823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.45 : 958.80 = 600.03 : x
  2. Step 2: Convert to fraction form
    698.45/958.80 = 600.03/x
  3. Step 3: Cross multiply
    698.45x = 958.80 × 600.03
  4. Step 4: Simplify right side
    698.45x = 575,308.76
  5. Step 5: Solve for x
    x = 575,308.76/698.45
  6. Step 6: Final answer
    x = 823.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.