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Finding the Fourth Proportional to 807.23, 1,113.84 and 475.67

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Solution

The fourth proportional to 807.23, 1,113.84 and 475.67 is: 656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.23 : 1,113.84 = 475.67 : x
  2. Step 2: Convert to fraction form
    807.23/1,113.84 = 475.67/x
  3. Step 3: Cross multiply
    807.23x = 1,113.84 × 475.67
  4. Step 4: Simplify right side
    807.23x = 529,820.27
  5. Step 5: Solve for x
    x = 529,820.27/807.23
  6. Step 6: Final answer
    x = 656.34

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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.