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Finding the Fourth Proportional to 777.97, 1,165.20 and 603.69

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Solution

The fourth proportional to 777.97, 1,165.20 and 603.69 is: 904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.97 : 1,165.20 = 603.69 : x
  2. Step 2: Convert to fraction form
    777.97/1,165.20 = 603.69/x
  3. Step 3: Cross multiply
    777.97x = 1,165.20 × 603.69
  4. Step 4: Simplify right side
    777.97x = 703,419.59
  5. Step 5: Solve for x
    x = 703,419.59/777.97
  6. Step 6: Final answer
    x = 904.17

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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.