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Finding the Fourth Proportional to 1,389.97, 1,918.12 and 800.51

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Solution

The fourth proportional to 1,389.97, 1,918.12 and 800.51 is: 1,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.97 : 1,918.12 = 800.51 : x
  2. Step 2: Convert to fraction form
    1,389.97/1,918.12 = 800.51/x
  3. Step 3: Cross multiply
    1,389.97x = 1,918.12 × 800.51
  4. Step 4: Simplify right side
    1,389.97x = 1,535,474.24
  5. Step 5: Solve for x
    x = 1,535,474.24/1,389.97
  6. Step 6: Final answer
    x = 1,104.68

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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.