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Finding the Fourth Proportional to 1,000.49, 1,380.40 and 580.82

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Solution

The fourth proportional to 1,000.49, 1,380.40 and 580.82 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.49 : 1,380.40 = 580.82 : x
  2. Step 2: Convert to fraction form
    1,000.49/1,380.40 = 580.82/x
  3. Step 3: Cross multiply
    1,000.49x = 1,380.40 × 580.82
  4. Step 4: Simplify right side
    1,000.49x = 801,755.57
  5. Step 5: Solve for x
    x = 801,755.57/1,000.49
  6. Step 6: Final answer
    x = 801.37

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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.