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Finding the Fourth Proportional to 1,568.01, 2,163.81 and 904.82

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Solution

The fourth proportional to 1,568.01, 2,163.81 and 904.82 is: 1,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.01 : 2,163.81 = 904.82 : x
  2. Step 2: Convert to fraction form
    1,568.01/2,163.81 = 904.82/x
  3. Step 3: Cross multiply
    1,568.01x = 2,163.81 × 904.82
  4. Step 4: Simplify right side
    1,568.01x = 1,957,858.56
  5. Step 5: Solve for x
    x = 1,957,858.56/1,568.01
  6. Step 6: Final answer
    x = 1,248.63

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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.