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Finding the Fourth Proportional to 1,129.46, 1,694.46 and 399.05

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Solution

The fourth proportional to 1,129.46, 1,694.46 and 399.05 is: 598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.46 : 1,694.46 = 399.05 : x
  2. Step 2: Convert to fraction form
    1,129.46/1,694.46 = 399.05/x
  3. Step 3: Cross multiply
    1,129.46x = 1,694.46 × 399.05
  4. Step 4: Simplify right side
    1,129.46x = 676,165.79
  5. Step 5: Solve for x
    x = 676,165.79/1,129.46
  6. Step 6: Final answer
    x = 598.67

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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.