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Finding the Fourth Proportional to 1,195.83, 1,790.91 and 761.67

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Solution

The fourth proportional to 1,195.83, 1,790.91 and 761.67 is: 1,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.83 : 1,790.91 = 761.67 : x
  2. Step 2: Convert to fraction form
    1,195.83/1,790.91 = 761.67/x
  3. Step 3: Cross multiply
    1,195.83x = 1,790.91 × 761.67
  4. Step 4: Simplify right side
    1,195.83x = 1,364,082.42
  5. Step 5: Solve for x
    x = 1,364,082.42/1,195.83
  6. Step 6: Final answer
    x = 1,140.70

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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.