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Finding the Fourth Proportional to 894.78, 1,348.79 and 817.02

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Solution

The fourth proportional to 894.78, 1,348.79 and 817.02 is: 1,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.78 : 1,348.79 = 817.02 : x
  2. Step 2: Convert to fraction form
    894.78/1,348.79 = 817.02/x
  3. Step 3: Cross multiply
    894.78x = 1,348.79 × 817.02
  4. Step 4: Simplify right side
    894.78x = 1,101,984.32
  5. Step 5: Solve for x
    x = 1,101,984.32/894.78
  6. Step 6: Final answer
    x = 1,231.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.