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Finding the Fourth Proportional to 1,280.45, 1,767.24 and 907.44

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Solution

The fourth proportional to 1,280.45, 1,767.24 and 907.44 is: 1,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.45 : 1,767.24 = 907.44 : x
  2. Step 2: Convert to fraction form
    1,280.45/1,767.24 = 907.44/x
  3. Step 3: Cross multiply
    1,280.45x = 1,767.24 × 907.44
  4. Step 4: Simplify right side
    1,280.45x = 1,603,664.27
  5. Step 5: Solve for x
    x = 1,603,664.27/1,280.45
  6. Step 6: Final answer
    x = 1,252.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.