Home / 1,407.22-2,110.41-433.30

Finding the Fourth Proportional to 1,407.22, 2,110.41 and 433.30

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Solution

The fourth proportional to 1,407.22, 2,110.41 and 433.30 is: 649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.22 : 2,110.41 = 433.30 : x
  2. Step 2: Convert to fraction form
    1,407.22/2,110.41 = 433.30/x
  3. Step 3: Cross multiply
    1,407.22x = 2,110.41 × 433.30
  4. Step 4: Simplify right side
    1,407.22x = 914,440.65
  5. Step 5: Solve for x
    x = 914,440.65/1,407.22
  6. Step 6: Final answer
    x = 649.82

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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.