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Finding the Fourth Proportional to 918.09, 1,374.75 and 841.97

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Solution

The fourth proportional to 918.09, 1,374.75 and 841.97 is: 1,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.09 : 1,374.75 = 841.97 : x
  2. Step 2: Convert to fraction form
    918.09/1,374.75 = 841.97/x
  3. Step 3: Cross multiply
    918.09x = 1,374.75 × 841.97
  4. Step 4: Simplify right side
    918.09x = 1,157,498.26
  5. Step 5: Solve for x
    x = 1,157,498.26/918.09
  6. Step 6: Final answer
    x = 1,260.77

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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.