Home / 1,462.16-2,192.82-596.26

Finding the Fourth Proportional to 1,462.16, 2,192.82 and 596.26

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Solution

The fourth proportional to 1,462.16, 2,192.82 and 596.26 is: 894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.16 : 2,192.82 = 596.26 : x
  2. Step 2: Convert to fraction form
    1,462.16/2,192.82 = 596.26/x
  3. Step 3: Cross multiply
    1,462.16x = 2,192.82 × 596.26
  4. Step 4: Simplify right side
    1,462.16x = 1,307,490.85
  5. Step 5: Solve for x
    x = 1,307,490.85/1,462.16
  6. Step 6: Final answer
    x = 894.22

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1.5x scale

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.