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Finding the Fourth Proportional to 515.29, 771.70 and 283.84

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Solution

The fourth proportional to 515.29, 771.70 and 283.84 is: 425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.29 : 771.70 = 283.84 : x
  2. Step 2: Convert to fraction form
    515.29/771.70 = 283.84/x
  3. Step 3: Cross multiply
    515.29x = 771.70 × 283.84
  4. Step 4: Simplify right side
    515.29x = 219,039.33
  5. Step 5: Solve for x
    x = 219,039.33/515.29
  6. Step 6: Final answer
    x = 425.08

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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.