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Finding the Fourth Proportional to 1,319.72, 1,823.62 and 1,255.67

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Solution

The fourth proportional to 1,319.72, 1,823.62 and 1,255.67 is: 1,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.72 : 1,823.62 = 1,255.67 : x
  2. Step 2: Convert to fraction form
    1,319.72/1,823.62 = 1,255.67/x
  3. Step 3: Cross multiply
    1,319.72x = 1,823.62 × 1,255.67
  4. Step 4: Simplify right side
    1,319.72x = 2,289,855.81
  5. Step 5: Solve for x
    x = 2,289,855.81/1,319.72
  6. Step 6: Final answer
    x = 1,735.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.