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Finding the Fourth Proportional to 893.16, 1,339.53 and 849.26

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Solution

The fourth proportional to 893.16, 1,339.53 and 849.26 is: 1,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.16 : 1,339.53 = 849.26 : x
  2. Step 2: Convert to fraction form
    893.16/1,339.53 = 849.26/x
  3. Step 3: Cross multiply
    893.16x = 1,339.53 × 849.26
  4. Step 4: Simplify right side
    893.16x = 1,137,602.55
  5. Step 5: Solve for x
    x = 1,137,602.55/893.16
  6. Step 6: Final answer
    x = 1,273.68

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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.