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Finding the Fourth Proportional to 514.44, 767.94 and 475.86

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Solution

The fourth proportional to 514.44, 767.94 and 475.86 is: 710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 767.94 = 475.86 : x
  2. Step 2: Convert to fraction form
    514.44/767.94 = 475.86/x
  3. Step 3: Cross multiply
    514.44x = 767.94 × 475.86
  4. Step 4: Simplify right side
    514.44x = 365,431.93
  5. Step 5: Solve for x
    x = 365,431.93/514.44
  6. Step 6: Final answer
    x = 710.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.