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Finding the Fourth Proportional to 2,450.80, 3,677.65 and 970.17

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Solution

The fourth proportional to 2,450.80, 3,677.65 and 970.17 is: 1,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.80 : 3,677.65 = 970.17 : x
  2. Step 2: Convert to fraction form
    2,450.80/3,677.65 = 970.17/x
  3. Step 3: Cross multiply
    2,450.80x = 3,677.65 × 970.17
  4. Step 4: Simplify right side
    2,450.80x = 3,567,945.70
  5. Step 5: Solve for x
    x = 3,567,945.70/2,450.80
  6. Step 6: Final answer
    x = 1,455.83

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1.5x scale

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.