Home / 1,232.17-1,848.25-462.13

Finding the Fourth Proportional to 1,232.17, 1,848.25 and 462.13

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Solution

The fourth proportional to 1,232.17, 1,848.25 and 462.13 is: 693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.17 : 1,848.25 = 462.13 : x
  2. Step 2: Convert to fraction form
    1,232.17/1,848.25 = 462.13/x
  3. Step 3: Cross multiply
    1,232.17x = 1,848.25 × 462.13
  4. Step 4: Simplify right side
    1,232.17x = 854,122.53
  5. Step 5: Solve for x
    x = 854,122.53/1,232.17
  6. Step 6: Final answer
    x = 693.19

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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.