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Finding the Fourth Proportional to 1,221.24, 1,830.77 and 441.06

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Solution

The fourth proportional to 1,221.24, 1,830.77 and 441.06 is: 661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.24 : 1,830.77 = 441.06 : x
  2. Step 2: Convert to fraction form
    1,221.24/1,830.77 = 441.06/x
  3. Step 3: Cross multiply
    1,221.24x = 1,830.77 × 441.06
  4. Step 4: Simplify right side
    1,221.24x = 807,477.21
  5. Step 5: Solve for x
    x = 807,477.21/1,221.24
  6. Step 6: Final answer
    x = 661.19

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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.