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Finding the Fourth Proportional to 785.40, 1,084.11 and 536.63

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Solution

The fourth proportional to 785.40, 1,084.11 and 536.63 is: 740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.40 : 1,084.11 = 536.63 : x
  2. Step 2: Convert to fraction form
    785.40/1,084.11 = 536.63/x
  3. Step 3: Cross multiply
    785.40x = 1,084.11 × 536.63
  4. Step 4: Simplify right side
    785.40x = 581,766.65
  5. Step 5: Solve for x
    x = 581,766.65/785.40
  6. Step 6: Final answer
    x = 740.72

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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.