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Finding the Fourth Proportional to 1,000.82, 1,380.75 and 607.70

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Solution

The fourth proportional to 1,000.82, 1,380.75 and 607.70 is: 838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.82 : 1,380.75 = 607.70 : x
  2. Step 2: Convert to fraction form
    1,000.82/1,380.75 = 607.70/x
  3. Step 3: Cross multiply
    1,000.82x = 1,380.75 × 607.70
  4. Step 4: Simplify right side
    1,000.82x = 839,081.78
  5. Step 5: Solve for x
    x = 839,081.78/1,000.82
  6. Step 6: Final answer
    x = 838.39

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Double scale
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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.