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Finding the Fourth Proportional to 797.53, 1,190.92 and 651.57

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Solution

The fourth proportional to 797.53, 1,190.92 and 651.57 is: 972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.53 : 1,190.92 = 651.57 : x
  2. Step 2: Convert to fraction form
    797.53/1,190.92 = 651.57/x
  3. Step 3: Cross multiply
    797.53x = 1,190.92 × 651.57
  4. Step 4: Simplify right side
    797.53x = 775,967.60
  5. Step 5: Solve for x
    x = 775,967.60/797.53
  6. Step 6: Final answer
    x = 972.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.