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Finding the Fourth Proportional to 1,415.80, 1,954.22 and 918.48

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Solution

The fourth proportional to 1,415.80, 1,954.22 and 918.48 is: 1,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.80 : 1,954.22 = 918.48 : x
  2. Step 2: Convert to fraction form
    1,415.80/1,954.22 = 918.48/x
  3. Step 3: Cross multiply
    1,415.80x = 1,954.22 × 918.48
  4. Step 4: Simplify right side
    1,415.80x = 1,794,911.99
  5. Step 5: Solve for x
    x = 1,794,911.99/1,415.80
  6. Step 6: Final answer
    x = 1,267.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.