Home / 1,407.24-2,111.20-433.28

Finding the Fourth Proportional to 1,407.24, 2,111.20 and 433.28

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Solution

The fourth proportional to 1,407.24, 2,111.20 and 433.28 is: 650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.24 : 2,111.20 = 433.28 : x
  2. Step 2: Convert to fraction form
    1,407.24/2,111.20 = 433.28/x
  3. Step 3: Cross multiply
    1,407.24x = 2,111.20 × 433.28
  4. Step 4: Simplify right side
    1,407.24x = 914,744.93
  5. Step 5: Solve for x
    x = 914,744.93/1,407.24
  6. Step 6: Final answer
    x = 650.03

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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.