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Finding the Fourth Proportional to 1,598.85, 2,396.63 and 866.88

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Solution

The fourth proportional to 1,598.85, 2,396.63 and 866.88 is: 1,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.85 : 2,396.63 = 866.88 : x
  2. Step 2: Convert to fraction form
    1,598.85/2,396.63 = 866.88/x
  3. Step 3: Cross multiply
    1,598.85x = 2,396.63 × 866.88
  4. Step 4: Simplify right side
    1,598.85x = 2,077,586.28
  5. Step 5: Solve for x
    x = 2,077,586.28/1,598.85
  6. Step 6: Final answer
    x = 1,299.43

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1.5x scale

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.