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Finding the Fourth Proportional to 1,097.96, 1,645.10 and 772.64

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Solution

The fourth proportional to 1,097.96, 1,645.10 and 772.64 is: 1,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.96 : 1,645.10 = 772.64 : x
  2. Step 2: Convert to fraction form
    1,097.96/1,645.10 = 772.64/x
  3. Step 3: Cross multiply
    1,097.96x = 1,645.10 × 772.64
  4. Step 4: Simplify right side
    1,097.96x = 1,271,057.98
  5. Step 5: Solve for x
    x = 1,271,057.98/1,097.96
  6. Step 6: Final answer
    x = 1,157.66

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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.