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Finding the Fourth Proportional to 1,264.47, 1,896.90 and 442.72

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Solution

The fourth proportional to 1,264.47, 1,896.90 and 442.72 is: 664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.47 : 1,896.90 = 442.72 : x
  2. Step 2: Convert to fraction form
    1,264.47/1,896.90 = 442.72/x
  3. Step 3: Cross multiply
    1,264.47x = 1,896.90 × 442.72
  4. Step 4: Simplify right side
    1,264.47x = 839,795.57
  5. Step 5: Solve for x
    x = 839,795.57/1,264.47
  6. Step 6: Final answer
    x = 664.15

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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.