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Finding the Fourth Proportional to 807.26, 1,113.89 and 475.70

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Solution

The fourth proportional to 807.26, 1,113.89 and 475.70 is: 656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.26 : 1,113.89 = 475.70 : x
  2. Step 2: Convert to fraction form
    807.26/1,113.89 = 475.70/x
  3. Step 3: Cross multiply
    807.26x = 1,113.89 × 475.70
  4. Step 4: Simplify right side
    807.26x = 529,869.53
  5. Step 5: Solve for x
    x = 529,869.53/807.26
  6. Step 6: Final answer
    x = 656.38

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1.5x scale

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.