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Finding the Fourth Proportional to 1,774.23, 2,661.07 and 993.75

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Solution

The fourth proportional to 1,774.23, 2,661.07 and 993.75 is: 1,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.23 : 2,661.07 = 993.75 : x
  2. Step 2: Convert to fraction form
    1,774.23/2,661.07 = 993.75/x
  3. Step 3: Cross multiply
    1,774.23x = 2,661.07 × 993.75
  4. Step 4: Simplify right side
    1,774.23x = 2,644,438.31
  5. Step 5: Solve for x
    x = 2,644,438.31/1,774.23
  6. Step 6: Final answer
    x = 1,490.47

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1.5x scale

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.