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Finding the Fourth Proportional to 1,242.90, 1,857.24 and 894.60

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Solution

The fourth proportional to 1,242.90, 1,857.24 and 894.60 is: 1,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.90 : 1,857.24 = 894.60 : x
  2. Step 2: Convert to fraction form
    1,242.90/1,857.24 = 894.60/x
  3. Step 3: Cross multiply
    1,242.90x = 1,857.24 × 894.60
  4. Step 4: Simplify right side
    1,242.90x = 1,661,486.90
  5. Step 5: Solve for x
    x = 1,661,486.90/1,242.90
  6. Step 6: Final answer
    x = 1,336.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.