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Finding the Fourth Proportional to 1,129.41, 1,694.16 and 399.08

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Solution

The fourth proportional to 1,129.41, 1,694.16 and 399.08 is: 598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.41 : 1,694.16 = 399.08 : x
  2. Step 2: Convert to fraction form
    1,129.41/1,694.16 = 399.08/x
  3. Step 3: Cross multiply
    1,129.41x = 1,694.16 × 399.08
  4. Step 4: Simplify right side
    1,129.41x = 676,109.61
  5. Step 5: Solve for x
    x = 676,109.61/1,129.41
  6. Step 6: Final answer
    x = 598.64

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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.