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Finding the Fourth Proportional to 1,588.28, 2,380.55 and 662.67

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Solution

The fourth proportional to 1,588.28, 2,380.55 and 662.67 is: 993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.28 : 2,380.55 = 662.67 : x
  2. Step 2: Convert to fraction form
    1,588.28/2,380.55 = 662.67/x
  3. Step 3: Cross multiply
    1,588.28x = 2,380.55 × 662.67
  4. Step 4: Simplify right side
    1,588.28x = 1,577,515.76
  5. Step 5: Solve for x
    x = 1,577,515.76/1,588.28
  6. Step 6: Final answer
    x = 993.23

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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.