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Finding the Fourth Proportional to 1,240.99, 1,699.87 and 1,225.19

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Solution

The fourth proportional to 1,240.99, 1,699.87 and 1,225.19 is: 1,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.99 : 1,699.87 = 1,225.19 : x
  2. Step 2: Convert to fraction form
    1,240.99/1,699.87 = 1,225.19/x
  3. Step 3: Cross multiply
    1,240.99x = 1,699.87 × 1,225.19
  4. Step 4: Simplify right side
    1,240.99x = 2,082,663.73
  5. Step 5: Solve for x
    x = 2,082,663.73/1,240.99
  6. Step 6: Final answer
    x = 1,678.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.