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Finding the Fourth Proportional to 776.60, 1,163.67 and 623.51

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Solution

The fourth proportional to 776.60, 1,163.67 and 623.51 is: 934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.60 : 1,163.67 = 623.51 : x
  2. Step 2: Convert to fraction form
    776.60/1,163.67 = 623.51/x
  3. Step 3: Cross multiply
    776.60x = 1,163.67 × 623.51
  4. Step 4: Simplify right side
    776.60x = 725,559.88
  5. Step 5: Solve for x
    x = 725,559.88/776.60
  6. Step 6: Final answer
    x = 934.28

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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.