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Finding the Fourth Proportional to 1,931.33, 2,896.79 and 698.51

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Solution

The fourth proportional to 1,931.33, 2,896.79 and 698.51 is: 1,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.33 : 2,896.79 = 698.51 : x
  2. Step 2: Convert to fraction form
    1,931.33/2,896.79 = 698.51/x
  3. Step 3: Cross multiply
    1,931.33x = 2,896.79 × 698.51
  4. Step 4: Simplify right side
    1,931.33x = 2,023,418.81
  5. Step 5: Solve for x
    x = 2,023,418.81/1,931.33
  6. Step 6: Final answer
    x = 1,047.68

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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.