Home / 1,571.28-2,357.34-597.42

Finding the Fourth Proportional to 1,571.28, 2,357.34 and 597.42

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Solution

The fourth proportional to 1,571.28, 2,357.34 and 597.42 is: 896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.28 : 2,357.34 = 597.42 : x
  2. Step 2: Convert to fraction form
    1,571.28/2,357.34 = 597.42/x
  3. Step 3: Cross multiply
    1,571.28x = 2,357.34 × 597.42
  4. Step 4: Simplify right side
    1,571.28x = 1,408,322.06
  5. Step 5: Solve for x
    x = 1,408,322.06/1,571.28
  6. Step 6: Final answer
    x = 896.29

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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.