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Finding the Fourth Proportional to 777.04, 1,163.92 and 603.08

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Solution

The fourth proportional to 777.04, 1,163.92 and 603.08 is: 903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.04 : 1,163.92 = 603.08 : x
  2. Step 2: Convert to fraction form
    777.04/1,163.92 = 603.08/x
  3. Step 3: Cross multiply
    777.04x = 1,163.92 × 603.08
  4. Step 4: Simplify right side
    777.04x = 701,936.87
  5. Step 5: Solve for x
    x = 701,936.87/777.04
  6. Step 6: Final answer
    x = 903.35

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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.