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Finding the Fourth Proportional to 1,107.95, 1,660.73 and 522.46

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Solution

The fourth proportional to 1,107.95, 1,660.73 and 522.46 is: 783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.95 : 1,660.73 = 522.46 : x
  2. Step 2: Convert to fraction form
    1,107.95/1,660.73 = 522.46/x
  3. Step 3: Cross multiply
    1,107.95x = 1,660.73 × 522.46
  4. Step 4: Simplify right side
    1,107.95x = 867,665.00
  5. Step 5: Solve for x
    x = 867,665.00/1,107.95
  6. Step 6: Final answer
    x = 783.13

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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.