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Finding the Fourth Proportional to 1,191.02, 1,643.24 and 771.60

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Solution

The fourth proportional to 1,191.02, 1,643.24 and 771.60 is: 1,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.02 : 1,643.24 = 771.60 : x
  2. Step 2: Convert to fraction form
    1,191.02/1,643.24 = 771.60/x
  3. Step 3: Cross multiply
    1,191.02x = 1,643.24 × 771.60
  4. Step 4: Simplify right side
    1,191.02x = 1,267,923.98
  5. Step 5: Solve for x
    x = 1,267,923.98/1,191.02
  6. Step 6: Final answer
    x = 1,064.57

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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.