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Finding the Fourth Proportional to 1,111.90, 1,669.36 and 699.80

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Solution

The fourth proportional to 1,111.90, 1,669.36 and 699.80 is: 1,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.90 : 1,669.36 = 699.80 : x
  2. Step 2: Convert to fraction form
    1,111.90/1,669.36 = 699.80/x
  3. Step 3: Cross multiply
    1,111.90x = 1,669.36 × 699.80
  4. Step 4: Simplify right side
    1,111.90x = 1,168,218.13
  5. Step 5: Solve for x
    x = 1,168,218.13/1,111.90
  6. Step 6: Final answer
    x = 1,050.65

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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.