Home / 1,407.34-2,111.38-433.46

Finding the Fourth Proportional to 1,407.34, 2,111.38 and 433.46

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Solution

The fourth proportional to 1,407.34, 2,111.38 and 433.46 is: 650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.34 : 2,111.38 = 433.46 : x
  2. Step 2: Convert to fraction form
    1,407.34/2,111.38 = 433.46/x
  3. Step 3: Cross multiply
    1,407.34x = 2,111.38 × 433.46
  4. Step 4: Simplify right side
    1,407.34x = 915,198.77
  5. Step 5: Solve for x
    x = 915,198.77/1,407.34
  6. Step 6: Final answer
    x = 650.30

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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.