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Finding the Fourth Proportional to 835.08, 1,252.76 and 777.12

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Solution

The fourth proportional to 835.08, 1,252.76 and 777.12 is: 1,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.08 : 1,252.76 = 777.12 : x
  2. Step 2: Convert to fraction form
    835.08/1,252.76 = 777.12/x
  3. Step 3: Cross multiply
    835.08x = 1,252.76 × 777.12
  4. Step 4: Simplify right side
    835.08x = 973,544.85
  5. Step 5: Solve for x
    x = 973,544.85/835.08
  6. Step 6: Final answer
    x = 1,165.81

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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.