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Finding the Fourth Proportional to 1,097.08, 1,643.77 and 771.87

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Solution

The fourth proportional to 1,097.08, 1,643.77 and 771.87 is: 1,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.08 : 1,643.77 = 771.87 : x
  2. Step 2: Convert to fraction form
    1,097.08/1,643.77 = 771.87/x
  3. Step 3: Cross multiply
    1,097.08x = 1,643.77 × 771.87
  4. Step 4: Simplify right side
    1,097.08x = 1,268,776.75
  5. Step 5: Solve for x
    x = 1,268,776.75/1,097.08
  6. Step 6: Final answer
    x = 1,156.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.