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Finding the Fourth Proportional to 1,239.14, 1,857.53 and 416.99

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Solution

The fourth proportional to 1,239.14, 1,857.53 and 416.99 is: 625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.14 : 1,857.53 = 416.99 : x
  2. Step 2: Convert to fraction form
    1,239.14/1,857.53 = 416.99/x
  3. Step 3: Cross multiply
    1,239.14x = 1,857.53 × 416.99
  4. Step 4: Simplify right side
    1,239.14x = 774,577.12
  5. Step 5: Solve for x
    x = 774,577.12/1,239.14
  6. Step 6: Final answer
    x = 625.09

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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.