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Finding the Fourth Proportional to 723.94, 1,084.69 and 312.86

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Solution

The fourth proportional to 723.94, 1,084.69 and 312.86 is: 468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 1,084.69 = 312.86 : x
  2. Step 2: Convert to fraction form
    723.94/1,084.69 = 312.86/x
  3. Step 3: Cross multiply
    723.94x = 1,084.69 × 312.86
  4. Step 4: Simplify right side
    723.94x = 339,359.22
  5. Step 5: Solve for x
    x = 339,359.22/723.94
  6. Step 6: Final answer
    x = 468.77

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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.