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Finding the Fourth Proportional to 785.98, 1,084.34 and 536.90

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Solution

The fourth proportional to 785.98, 1,084.34 and 536.90 is: 740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.98 : 1,084.34 = 536.90 : x
  2. Step 2: Convert to fraction form
    785.98/1,084.34 = 536.90/x
  3. Step 3: Cross multiply
    785.98x = 1,084.34 × 536.90
  4. Step 4: Simplify right side
    785.98x = 582,182.15
  5. Step 5: Solve for x
    x = 582,182.15/785.98
  6. Step 6: Final answer
    x = 740.71

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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.