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Finding the Fourth Proportional to 1,108.28, 1,529.50 and 772.19

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Solution

The fourth proportional to 1,108.28, 1,529.50 and 772.19 is: 1,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.28 : 1,529.50 = 772.19 : x
  2. Step 2: Convert to fraction form
    1,108.28/1,529.50 = 772.19/x
  3. Step 3: Cross multiply
    1,108.28x = 1,529.50 × 772.19
  4. Step 4: Simplify right side
    1,108.28x = 1,181,066.50
  5. Step 5: Solve for x
    x = 1,181,066.50/1,108.28
  6. Step 6: Final answer
    x = 1,065.68

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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.