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Finding the Fourth Proportional to 803.72, 1,106.30 and 772.59

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Solution

The fourth proportional to 803.72, 1,106.30 and 772.59 is: 1,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.72 : 1,106.30 = 772.59 : x
  2. Step 2: Convert to fraction form
    803.72/1,106.30 = 772.59/x
  3. Step 3: Cross multiply
    803.72x = 1,106.30 × 772.59
  4. Step 4: Simplify right side
    803.72x = 854,716.32
  5. Step 5: Solve for x
    x = 854,716.32/803.72
  6. Step 6: Final answer
    x = 1,063.45

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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.