Home / 723.03-1,084.83-312.15

Finding the Fourth Proportional to 723.03, 1,084.83 and 312.15

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Solution

The fourth proportional to 723.03, 1,084.83 and 312.15 is: 468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.03 : 1,084.83 = 312.15 : x
  2. Step 2: Convert to fraction form
    723.03/1,084.83 = 312.15/x
  3. Step 3: Cross multiply
    723.03x = 1,084.83 × 312.15
  4. Step 4: Simplify right side
    723.03x = 338,629.68
  5. Step 5: Solve for x
    x = 338,629.68/723.03
  6. Step 6: Final answer
    x = 468.35

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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.