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Finding the Fourth Proportional to 513.02, 768.57 and 281.57

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Solution

The fourth proportional to 513.02, 768.57 and 281.57 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.02 : 768.57 = 281.57 : x
  2. Step 2: Convert to fraction form
    513.02/768.57 = 281.57/x
  3. Step 3: Cross multiply
    513.02x = 768.57 × 281.57
  4. Step 4: Simplify right side
    513.02x = 216,402.41
  5. Step 5: Solve for x
    x = 216,402.41/513.02
  6. Step 6: Final answer
    x = 421.82

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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.