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Finding the Fourth Proportional to 1,571.34, 2,168.33 and 907.75

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Solution

The fourth proportional to 1,571.34, 2,168.33 and 907.75 is: 1,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.34 : 2,168.33 = 907.75 : x
  2. Step 2: Convert to fraction form
    1,571.34/2,168.33 = 907.75/x
  3. Step 3: Cross multiply
    1,571.34x = 2,168.33 × 907.75
  4. Step 4: Simplify right side
    1,571.34x = 1,968,301.56
  5. Step 5: Solve for x
    x = 1,968,301.56/1,571.34
  6. Step 6: Final answer
    x = 1,252.63

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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.