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Finding the Fourth Proportional to 807.09, 1,113.83 and 475.44

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Solution

The fourth proportional to 807.09, 1,113.83 and 475.44 is: 656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.09 : 1,113.83 = 475.44 : x
  2. Step 2: Convert to fraction form
    807.09/1,113.83 = 475.44/x
  3. Step 3: Cross multiply
    807.09x = 1,113.83 × 475.44
  4. Step 4: Simplify right side
    807.09x = 529,559.34
  5. Step 5: Solve for x
    x = 529,559.34/807.09
  6. Step 6: Final answer
    x = 656.13

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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.