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Finding the Fourth Proportional to 698.07, 963.05 and 436.17

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Solution

The fourth proportional to 698.07, 963.05 and 436.17 is: 601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.07 : 963.05 = 436.17 : x
  2. Step 2: Convert to fraction form
    698.07/963.05 = 436.17/x
  3. Step 3: Cross multiply
    698.07x = 963.05 × 436.17
  4. Step 4: Simplify right side
    698.07x = 420,051.34
  5. Step 5: Solve for x
    x = 420,051.34/698.07
  6. Step 6: Final answer
    x = 601.73

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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.