Home / 1,407.37-2,111.46-433.61

Finding the Fourth Proportional to 1,407.37, 2,111.46 and 433.61

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Solution

The fourth proportional to 1,407.37, 2,111.46 and 433.61 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.37 : 2,111.46 = 433.61 : x
  2. Step 2: Convert to fraction form
    1,407.37/2,111.46 = 433.61/x
  3. Step 3: Cross multiply
    1,407.37x = 2,111.46 × 433.61
  4. Step 4: Simplify right side
    1,407.37x = 915,548.00
  5. Step 5: Solve for x
    x = 915,548.00/1,407.37
  6. Step 6: Final answer
    x = 650.54

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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.