Home / 1,264.16-1,896.40-442.92

Finding the Fourth Proportional to 1,264.16, 1,896.40 and 442.92

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Solution

The fourth proportional to 1,264.16, 1,896.40 and 442.92 is: 664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.16 : 1,896.40 = 442.92 : x
  2. Step 2: Convert to fraction form
    1,264.16/1,896.40 = 442.92/x
  3. Step 3: Cross multiply
    1,264.16x = 1,896.40 × 442.92
  4. Step 4: Simplify right side
    1,264.16x = 839,953.49
  5. Step 5: Solve for x
    x = 839,953.49/1,264.16
  6. Step 6: Final answer
    x = 664.44

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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.