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Finding the Fourth Proportional to 1,495.51, 2,064.51 and 998.48

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Solution

The fourth proportional to 1,495.51, 2,064.51 and 998.48 is: 1,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.51 : 2,064.51 = 998.48 : x
  2. Step 2: Convert to fraction form
    1,495.51/2,064.51 = 998.48/x
  3. Step 3: Cross multiply
    1,495.51x = 2,064.51 × 998.48
  4. Step 4: Simplify right side
    1,495.51x = 2,061,371.94
  5. Step 5: Solve for x
    x = 2,061,371.94/1,495.51
  6. Step 6: Final answer
    x = 1,378.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.