Home / 1,570.16-2,355.32-596.34

Finding the Fourth Proportional to 1,570.16, 2,355.32 and 596.34

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Solution

The fourth proportional to 1,570.16, 2,355.32 and 596.34 is: 894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.16 : 2,355.32 = 596.34 : x
  2. Step 2: Convert to fraction form
    1,570.16/2,355.32 = 596.34/x
  3. Step 3: Cross multiply
    1,570.16x = 2,355.32 × 596.34
  4. Step 4: Simplify right side
    1,570.16x = 1,404,571.53
  5. Step 5: Solve for x
    x = 1,404,571.53/1,570.16
  6. Step 6: Final answer
    x = 894.54

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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.