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Finding the Fourth Proportional to 845.63, 1,268.46 and 475.38

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Solution

The fourth proportional to 845.63, 1,268.46 and 475.38 is: 713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.63 : 1,268.46 = 475.38 : x
  2. Step 2: Convert to fraction form
    845.63/1,268.46 = 475.38/x
  3. Step 3: Cross multiply
    845.63x = 1,268.46 × 475.38
  4. Step 4: Simplify right side
    845.63x = 603,000.51
  5. Step 5: Solve for x
    x = 603,000.51/845.63
  6. Step 6: Final answer
    x = 713.07

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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.