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Finding the Fourth Proportional to 1,804.55, 2,707.15 and 830.75

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Solution

The fourth proportional to 1,804.55, 2,707.15 and 830.75 is: 1,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.55 : 2,707.15 = 830.75 : x
  2. Step 2: Convert to fraction form
    1,804.55/2,707.15 = 830.75/x
  3. Step 3: Cross multiply
    1,804.55x = 2,707.15 × 830.75
  4. Step 4: Simplify right side
    1,804.55x = 2,248,964.86
  5. Step 5: Solve for x
    x = 2,248,964.86/1,804.55
  6. Step 6: Final answer
    x = 1,246.27

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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.