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Finding the Fourth Proportional to 703.60, 963.70 and 663.72

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Solution

The fourth proportional to 703.60, 963.70 and 663.72 is: 909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.60 : 963.70 = 663.72 : x
  2. Step 2: Convert to fraction form
    703.60/963.70 = 663.72/x
  3. Step 3: Cross multiply
    703.60x = 963.70 × 663.72
  4. Step 4: Simplify right side
    703.60x = 639,626.96
  5. Step 5: Solve for x
    x = 639,626.96/703.60
  6. Step 6: Final answer
    x = 909.08

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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.