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Finding the Fourth Proportional to 1,275.35, 1,912.95 and 409.59

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Solution

The fourth proportional to 1,275.35, 1,912.95 and 409.59 is: 614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.35 : 1,912.95 = 409.59 : x
  2. Step 2: Convert to fraction form
    1,275.35/1,912.95 = 409.59/x
  3. Step 3: Cross multiply
    1,275.35x = 1,912.95 × 409.59
  4. Step 4: Simplify right side
    1,275.35x = 783,525.19
  5. Step 5: Solve for x
    x = 783,525.19/1,275.35
  6. Step 6: Final answer
    x = 614.36

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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.