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Finding the Fourth Proportional to 1,376.70, 2,065.10 and 402.90

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Solution

The fourth proportional to 1,376.70, 2,065.10 and 402.90 is: 604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.70 : 2,065.10 = 402.90 : x
  2. Step 2: Convert to fraction form
    1,376.70/2,065.10 = 402.90/x
  3. Step 3: Cross multiply
    1,376.70x = 2,065.10 × 402.90
  4. Step 4: Simplify right side
    1,376.70x = 832,026.78
  5. Step 5: Solve for x
    x = 832,026.78/1,376.70
  6. Step 6: Final answer
    x = 604.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.