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Finding the Fourth Proportional to 1,130.04, 1,694.79 and 399.42

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Solution

The fourth proportional to 1,130.04, 1,694.79 and 399.42 is: 599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.04 : 1,694.79 = 399.42 : x
  2. Step 2: Convert to fraction form
    1,130.04/1,694.79 = 399.42/x
  3. Step 3: Cross multiply
    1,130.04x = 1,694.79 × 399.42
  4. Step 4: Simplify right side
    1,130.04x = 676,933.02
  5. Step 5: Solve for x
    x = 676,933.02/1,130.04
  6. Step 6: Final answer
    x = 599.03

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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.