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Finding the Fourth Proportional to 1,290.14, 1,780.37 and 700.67

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Solution

The fourth proportional to 1,290.14, 1,780.37 and 700.67 is: 966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.14 : 1,780.37 = 700.67 : x
  2. Step 2: Convert to fraction form
    1,290.14/1,780.37 = 700.67/x
  3. Step 3: Cross multiply
    1,290.14x = 1,780.37 × 700.67
  4. Step 4: Simplify right side
    1,290.14x = 1,247,451.85
  5. Step 5: Solve for x
    x = 1,247,451.85/1,290.14
  6. Step 6: Final answer
    x = 966.91

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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.