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Finding the Fourth Proportional to 722.98, 1,084.74 and 311.95

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Solution

The fourth proportional to 722.98, 1,084.74 and 311.95 is: 468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.98 : 1,084.74 = 311.95 : x
  2. Step 2: Convert to fraction form
    722.98/1,084.74 = 311.95/x
  3. Step 3: Cross multiply
    722.98x = 1,084.74 × 311.95
  4. Step 4: Simplify right side
    722.98x = 338,384.64
  5. Step 5: Solve for x
    x = 338,384.64/722.98
  6. Step 6: Final answer
    x = 468.04

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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.