Home / 1,233.04-1,848.36-463.12

Finding the Fourth Proportional to 1,233.04, 1,848.36 and 463.12

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Solution

The fourth proportional to 1,233.04, 1,848.36 and 463.12 is: 694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.04 : 1,848.36 = 463.12 : x
  2. Step 2: Convert to fraction form
    1,233.04/1,848.36 = 463.12/x
  3. Step 3: Cross multiply
    1,233.04x = 1,848.36 × 463.12
  4. Step 4: Simplify right side
    1,233.04x = 856,012.48
  5. Step 5: Solve for x
    x = 856,012.48/1,233.04
  6. Step 6: Final answer
    x = 694.23

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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.