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Finding the Fourth Proportional to 807.16, 1,113.71 and 475.46

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Solution

The fourth proportional to 807.16, 1,113.71 and 475.46 is: 656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.16 : 1,113.71 = 475.46 : x
  2. Step 2: Convert to fraction form
    807.16/1,113.71 = 475.46/x
  3. Step 3: Cross multiply
    807.16x = 1,113.71 × 475.46
  4. Step 4: Simplify right side
    807.16x = 529,524.96
  5. Step 5: Solve for x
    x = 529,524.96/807.16
  6. Step 6: Final answer
    x = 656.04

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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.