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Finding the Fourth Proportional to 918.77, 1,378.59 and 797.87

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Solution

The fourth proportional to 918.77, 1,378.59 and 797.87 is: 1,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.77 : 1,378.59 = 797.87 : x
  2. Step 2: Convert to fraction form
    918.77/1,378.59 = 797.87/x
  3. Step 3: Cross multiply
    918.77x = 1,378.59 × 797.87
  4. Step 4: Simplify right side
    918.77x = 1,099,936.06
  5. Step 5: Solve for x
    x = 1,099,936.06/918.77
  6. Step 6: Final answer
    x = 1,197.19

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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.