Home / 1,596.20-2,394.75-500.72

Finding the Fourth Proportional to 1,596.20, 2,394.75 and 500.72

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Solution

The fourth proportional to 1,596.20, 2,394.75 and 500.72 is: 751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.20 : 2,394.75 = 500.72 : x
  2. Step 2: Convert to fraction form
    1,596.20/2,394.75 = 500.72/x
  3. Step 3: Cross multiply
    1,596.20x = 2,394.75 × 500.72
  4. Step 4: Simplify right side
    1,596.20x = 1,199,099.22
  5. Step 5: Solve for x
    x = 1,199,099.22/1,596.20
  6. Step 6: Final answer
    x = 751.22

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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.