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Finding the Fourth Proportional to 1,447.97, 1,998.50 and 916.51

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Solution

The fourth proportional to 1,447.97, 1,998.50 and 916.51 is: 1,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.97 : 1,998.50 = 916.51 : x
  2. Step 2: Convert to fraction form
    1,447.97/1,998.50 = 916.51/x
  3. Step 3: Cross multiply
    1,447.97x = 1,998.50 × 916.51
  4. Step 4: Simplify right side
    1,447.97x = 1,831,645.24
  5. Step 5: Solve for x
    x = 1,831,645.24/1,447.97
  6. Step 6: Final answer
    x = 1,264.97

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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.