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Finding the Fourth Proportional to 893.12, 1,345.04 and 786.08

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Solution

The fourth proportional to 893.12, 1,345.04 and 786.08 is: 1,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.12 : 1,345.04 = 786.08 : x
  2. Step 2: Convert to fraction form
    893.12/1,345.04 = 786.08/x
  3. Step 3: Cross multiply
    893.12x = 1,345.04 × 786.08
  4. Step 4: Simplify right side
    893.12x = 1,057,309.04
  5. Step 5: Solve for x
    x = 1,057,309.04/893.12
  6. Step 6: Final answer
    x = 1,183.84

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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.