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Finding the Fourth Proportional to 1,555.26, 2,329.76 and 772.89

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Solution

The fourth proportional to 1,555.26, 2,329.76 and 772.89 is: 1,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.26 : 2,329.76 = 772.89 : x
  2. Step 2: Convert to fraction form
    1,555.26/2,329.76 = 772.89/x
  3. Step 3: Cross multiply
    1,555.26x = 2,329.76 × 772.89
  4. Step 4: Simplify right side
    1,555.26x = 1,800,650.16
  5. Step 5: Solve for x
    x = 1,800,650.16/1,555.26
  6. Step 6: Final answer
    x = 1,157.78

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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.