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Finding the Fourth Proportional to 1,138.36, 1,705.82 and 771.88

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Solution

The fourth proportional to 1,138.36, 1,705.82 and 771.88 is: 1,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.36 : 1,705.82 = 771.88 : x
  2. Step 2: Convert to fraction form
    1,138.36/1,705.82 = 771.88/x
  3. Step 3: Cross multiply
    1,138.36x = 1,705.82 × 771.88
  4. Step 4: Simplify right side
    1,138.36x = 1,316,688.34
  5. Step 5: Solve for x
    x = 1,316,688.34/1,138.36
  6. Step 6: Final answer
    x = 1,156.65

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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.