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Finding the Fourth Proportional to 1,240.49, 1,699.19 and 1,224.69

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Solution

The fourth proportional to 1,240.49, 1,699.19 and 1,224.69 is: 1,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.49 : 1,699.19 = 1,224.69 : x
  2. Step 2: Convert to fraction form
    1,240.49/1,699.19 = 1,224.69/x
  3. Step 3: Cross multiply
    1,240.49x = 1,699.19 × 1,224.69
  4. Step 4: Simplify right side
    1,240.49x = 2,080,974.88
  5. Step 5: Solve for x
    x = 2,080,974.88/1,240.49
  6. Step 6: Final answer
    x = 1,677.55

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1.5x scale

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.