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Finding the Fourth Proportional to 1,129.83, 1,694.74 and 399.46

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Solution

The fourth proportional to 1,129.83, 1,694.74 and 399.46 is: 599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.83 : 1,694.74 = 399.46 : x
  2. Step 2: Convert to fraction form
    1,129.83/1,694.74 = 399.46/x
  3. Step 3: Cross multiply
    1,129.83x = 1,694.74 × 399.46
  4. Step 4: Simplify right side
    1,129.83x = 676,980.84
  5. Step 5: Solve for x
    x = 676,980.84/1,129.83
  6. Step 6: Final answer
    x = 599.19

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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.