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Finding the Fourth Proportional to 893.36, 1,230.03 and 811.35

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Solution

The fourth proportional to 893.36, 1,230.03 and 811.35 is: 1,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.36 : 1,230.03 = 811.35 : x
  2. Step 2: Convert to fraction form
    893.36/1,230.03 = 811.35/x
  3. Step 3: Cross multiply
    893.36x = 1,230.03 × 811.35
  4. Step 4: Simplify right side
    893.36x = 997,984.84
  5. Step 5: Solve for x
    x = 997,984.84/893.36
  6. Step 6: Final answer
    x = 1,117.11

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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.