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Finding the Fourth Proportional to 785.21, 1,084.48 and 680.13

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Solution

The fourth proportional to 785.21, 1,084.48 and 680.13 is: 939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.21 : 1,084.48 = 680.13 : x
  2. Step 2: Convert to fraction form
    785.21/1,084.48 = 680.13/x
  3. Step 3: Cross multiply
    785.21x = 1,084.48 × 680.13
  4. Step 4: Simplify right side
    785.21x = 737,587.38
  5. Step 5: Solve for x
    x = 737,587.38/785.21
  6. Step 6: Final answer
    x = 939.35

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1.5x scale

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.