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Finding the Fourth Proportional to 513.96, 767.20 and 475.89

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Solution

The fourth proportional to 513.96, 767.20 and 475.89 is: 710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.96 : 767.20 = 475.89 : x
  2. Step 2: Convert to fraction form
    513.96/767.20 = 475.89/x
  3. Step 3: Cross multiply
    513.96x = 767.20 × 475.89
  4. Step 4: Simplify right side
    513.96x = 365,102.81
  5. Step 5: Solve for x
    x = 365,102.81/513.96
  6. Step 6: Final answer
    x = 710.37

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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.