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Finding the Fourth Proportional to 1,400.58, 1,933.07 and 876.51

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Solution

The fourth proportional to 1,400.58, 1,933.07 and 876.51 is: 1,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.58 : 1,933.07 = 876.51 : x
  2. Step 2: Convert to fraction form
    1,400.58/1,933.07 = 876.51/x
  3. Step 3: Cross multiply
    1,400.58x = 1,933.07 × 876.51
  4. Step 4: Simplify right side
    1,400.58x = 1,694,350.80
  5. Step 5: Solve for x
    x = 1,694,350.80/1,400.58
  6. Step 6: Final answer
    x = 1,209.75

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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.