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Finding the Fourth Proportional to 1,114.07, 1,669.91 and 805.77

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Solution

The fourth proportional to 1,114.07, 1,669.91 and 805.77 is: 1,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.07 : 1,669.91 = 805.77 : x
  2. Step 2: Convert to fraction form
    1,114.07/1,669.91 = 805.77/x
  3. Step 3: Cross multiply
    1,114.07x = 1,669.91 × 805.77
  4. Step 4: Simplify right side
    1,114.07x = 1,345,559.35
  5. Step 5: Solve for x
    x = 1,345,559.35/1,114.07
  6. Step 6: Final answer
    x = 1,207.79

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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.