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Finding the Fourth Proportional to 786.16, 1,181.94 and 603.64

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Solution

The fourth proportional to 786.16, 1,181.94 and 603.64 is: 907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.16 : 1,181.94 = 603.64 : x
  2. Step 2: Convert to fraction form
    786.16/1,181.94 = 603.64/x
  3. Step 3: Cross multiply
    786.16x = 1,181.94 × 603.64
  4. Step 4: Simplify right side
    786.16x = 713,466.26
  5. Step 5: Solve for x
    x = 713,466.26/786.16
  6. Step 6: Final answer
    x = 907.53

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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.