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Finding the Fourth Proportional to 1,105.17, 1,525.12 and 607.79

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Solution

The fourth proportional to 1,105.17, 1,525.12 and 607.79 is: 838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.17 : 1,525.12 = 607.79 : x
  2. Step 2: Convert to fraction form
    1,105.17/1,525.12 = 607.79/x
  3. Step 3: Cross multiply
    1,105.17x = 1,525.12 × 607.79
  4. Step 4: Simplify right side
    1,105.17x = 926,954.98
  5. Step 5: Solve for x
    x = 926,954.98/1,105.17
  6. Step 6: Final answer
    x = 838.74

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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.