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Finding the Fourth Proportional to 1,139.94, 1,710.31 and 399.66

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Solution

The fourth proportional to 1,139.94, 1,710.31 and 399.66 is: 599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.94 : 1,710.31 = 399.66 : x
  2. Step 2: Convert to fraction form
    1,139.94/1,710.31 = 399.66/x
  3. Step 3: Cross multiply
    1,139.94x = 1,710.31 × 399.66
  4. Step 4: Simplify right side
    1,139.94x = 683,542.49
  5. Step 5: Solve for x
    x = 683,542.49/1,139.94
  6. Step 6: Final answer
    x = 599.63

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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.