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Finding the Fourth Proportional to 785.18, 1,084.23 and 490.95

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Solution

The fourth proportional to 785.18, 1,084.23 and 490.95 is: 677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.18 : 1,084.23 = 490.95 : x
  2. Step 2: Convert to fraction form
    785.18/1,084.23 = 490.95/x
  3. Step 3: Cross multiply
    785.18x = 1,084.23 × 490.95
  4. Step 4: Simplify right side
    785.18x = 532,302.72
  5. Step 5: Solve for x
    x = 532,302.72/785.18
  6. Step 6: Final answer
    x = 677.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.