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Finding the Fourth Proportional to 1,234.47, 1,852.10 and 771.62

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Solution

The fourth proportional to 1,234.47, 1,852.10 and 771.62 is: 1,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.47 : 1,852.10 = 771.62 : x
  2. Step 2: Convert to fraction form
    1,234.47/1,852.10 = 771.62/x
  3. Step 3: Cross multiply
    1,234.47x = 1,852.10 × 771.62
  4. Step 4: Simplify right side
    1,234.47x = 1,429,107.18
  5. Step 5: Solve for x
    x = 1,429,107.18/1,234.47
  6. Step 6: Final answer
    x = 1,157.67

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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.