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Finding the Fourth Proportional to 1,551.44, 2,326.93 and 771.19

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Solution

The fourth proportional to 1,551.44, 2,326.93 and 771.19 is: 1,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.44 : 2,326.93 = 771.19 : x
  2. Step 2: Convert to fraction form
    1,551.44/2,326.93 = 771.19/x
  3. Step 3: Cross multiply
    1,551.44x = 2,326.93 × 771.19
  4. Step 4: Simplify right side
    1,551.44x = 1,794,501.74
  5. Step 5: Solve for x
    x = 1,794,501.74/1,551.44
  6. Step 6: Final answer
    x = 1,156.67

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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.