Home / 1,107.30-1,660.40-413.46

Finding the Fourth Proportional to 1,107.30, 1,660.40 and 413.46

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Solution

The fourth proportional to 1,107.30, 1,660.40 and 413.46 is: 619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.30 : 1,660.40 = 413.46 : x
  2. Step 2: Convert to fraction form
    1,107.30/1,660.40 = 413.46/x
  3. Step 3: Cross multiply
    1,107.30x = 1,660.40 × 413.46
  4. Step 4: Simplify right side
    1,107.30x = 686,508.98
  5. Step 5: Solve for x
    x = 686,508.98/1,107.30
  6. Step 6: Final answer
    x = 619.98

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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.