Home / 1,192.81-1,788.27-500.02

Finding the Fourth Proportional to 1,192.81, 1,788.27 and 500.02

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Solution

The fourth proportional to 1,192.81, 1,788.27 and 500.02 is: 749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.81 : 1,788.27 = 500.02 : x
  2. Step 2: Convert to fraction form
    1,192.81/1,788.27 = 500.02/x
  3. Step 3: Cross multiply
    1,192.81x = 1,788.27 × 500.02
  4. Step 4: Simplify right side
    1,192.81x = 894,170.77
  5. Step 5: Solve for x
    x = 894,170.77/1,192.81
  6. Step 6: Final answer
    x = 749.63

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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.