Home / 1,233.02-1,848.22-540.07

Finding the Fourth Proportional to 1,233.02, 1,848.22 and 540.07

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Solution

The fourth proportional to 1,233.02, 1,848.22 and 540.07 is: 809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.02 : 1,848.22 = 540.07 : x
  2. Step 2: Convert to fraction form
    1,233.02/1,848.22 = 540.07/x
  3. Step 3: Cross multiply
    1,233.02x = 1,848.22 × 540.07
  4. Step 4: Simplify right side
    1,233.02x = 998,162.20
  5. Step 5: Solve for x
    x = 998,162.20/1,233.02
  6. Step 6: Final answer
    x = 809.52

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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.