Home / 1,433.20-2,149.80-508.45

Finding the Fourth Proportional to 1,433.20, 2,149.80 and 508.45

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Solution

The fourth proportional to 1,433.20, 2,149.80 and 508.45 is: 762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.20 : 2,149.80 = 508.45 : x
  2. Step 2: Convert to fraction form
    1,433.20/2,149.80 = 508.45/x
  3. Step 3: Cross multiply
    1,433.20x = 2,149.80 × 508.45
  4. Step 4: Simplify right side
    1,433.20x = 1,093,065.81
  5. Step 5: Solve for x
    x = 1,093,065.81/1,433.20
  6. Step 6: Final answer
    x = 762.68

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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.