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Finding the Fourth Proportional to 1,210.69, 1,815.82 and 321.23

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Solution

The fourth proportional to 1,210.69, 1,815.82 and 321.23 is: 481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.69 : 1,815.82 = 321.23 : x
  2. Step 2: Convert to fraction form
    1,210.69/1,815.82 = 321.23/x
  3. Step 3: Cross multiply
    1,210.69x = 1,815.82 × 321.23
  4. Step 4: Simplify right side
    1,210.69x = 583,291.32
  5. Step 5: Solve for x
    x = 583,291.32/1,210.69
  6. Step 6: Final answer
    x = 481.78

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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.