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Finding the Fourth Proportional to 1,231.76, 1,699.78 and 707.75

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Solution

The fourth proportional to 1,231.76, 1,699.78 and 707.75 is: 976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.76 : 1,699.78 = 707.75 : x
  2. Step 2: Convert to fraction form
    1,231.76/1,699.78 = 707.75/x
  3. Step 3: Cross multiply
    1,231.76x = 1,699.78 × 707.75
  4. Step 4: Simplify right side
    1,231.76x = 1,203,019.30
  5. Step 5: Solve for x
    x = 1,203,019.30/1,231.76
  6. Step 6: Final answer
    x = 976.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.