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Finding the Fourth Proportional to 806.81, 1,113.27 and 475.31

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Solution

The fourth proportional to 806.81, 1,113.27 and 475.31 is: 655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.81 : 1,113.27 = 475.31 : x
  2. Step 2: Convert to fraction form
    806.81/1,113.27 = 475.31/x
  3. Step 3: Cross multiply
    806.81x = 1,113.27 × 475.31
  4. Step 4: Simplify right side
    806.81x = 529,141.61
  5. Step 5: Solve for x
    x = 529,141.61/806.81
  6. Step 6: Final answer
    x = 655.84

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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.