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Finding the Fourth Proportional to 1,398.97, 2,099.19 and 619.51

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Solution

The fourth proportional to 1,398.97, 2,099.19 and 619.51 is: 929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.97 : 2,099.19 = 619.51 : x
  2. Step 2: Convert to fraction form
    1,398.97/2,099.19 = 619.51/x
  3. Step 3: Cross multiply
    1,398.97x = 2,099.19 × 619.51
  4. Step 4: Simplify right side
    1,398.97x = 1,300,463.71
  5. Step 5: Solve for x
    x = 1,300,463.71/1,398.97
  6. Step 6: Final answer
    x = 929.59

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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.