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Finding the Fourth Proportional to 722.94, 1,084.64 and 312.27

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Solution

The fourth proportional to 722.94, 1,084.64 and 312.27 is: 468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.94 : 1,084.64 = 312.27 : x
  2. Step 2: Convert to fraction form
    722.94/1,084.64 = 312.27/x
  3. Step 3: Cross multiply
    722.94x = 1,084.64 × 312.27
  4. Step 4: Simplify right side
    722.94x = 338,702.76
  5. Step 5: Solve for x
    x = 338,702.76/722.94
  6. Step 6: Final answer
    x = 468.51

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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.