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Finding the Fourth Proportional to 513.93, 771.57 and 283.63

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Solution

The fourth proportional to 513.93, 771.57 and 283.63 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.93 : 771.57 = 283.63 : x
  2. Step 2: Convert to fraction form
    513.93/771.57 = 283.63/x
  3. Step 3: Cross multiply
    513.93x = 771.57 × 283.63
  4. Step 4: Simplify right side
    513.93x = 218,840.40
  5. Step 5: Solve for x
    x = 218,840.40/513.93
  6. Step 6: Final answer
    x = 425.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.