Home / 1,233.17-1,849.63-463.73

Finding the Fourth Proportional to 1,233.17, 1,849.63 and 463.73

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Solution

The fourth proportional to 1,233.17, 1,849.63 and 463.73 is: 695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.17 : 1,849.63 = 463.73 : x
  2. Step 2: Convert to fraction form
    1,233.17/1,849.63 = 463.73/x
  3. Step 3: Cross multiply
    1,233.17x = 1,849.63 × 463.73
  4. Step 4: Simplify right side
    1,233.17x = 857,728.92
  5. Step 5: Solve for x
    x = 857,728.92/1,233.17
  6. Step 6: Final answer
    x = 695.55

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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.