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Finding the Fourth Proportional to 771.26, 1,156.91 and 589.77

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Solution

The fourth proportional to 771.26, 1,156.91 and 589.77 is: 884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.26 : 1,156.91 = 589.77 : x
  2. Step 2: Convert to fraction form
    771.26/1,156.91 = 589.77/x
  3. Step 3: Cross multiply
    771.26x = 1,156.91 × 589.77
  4. Step 4: Simplify right side
    771.26x = 682,307.86
  5. Step 5: Solve for x
    x = 682,307.86/771.26
  6. Step 6: Final answer
    x = 884.67

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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.