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Finding the Fourth Proportional to 513.19, 770.09 and 188.58

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Solution

The fourth proportional to 513.19, 770.09 and 188.58 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.19 : 770.09 = 188.58 : x
  2. Step 2: Convert to fraction form
    513.19/770.09 = 188.58/x
  3. Step 3: Cross multiply
    513.19x = 770.09 × 188.58
  4. Step 4: Simplify right side
    513.19x = 145,223.57
  5. Step 5: Solve for x
    x = 145,223.57/513.19
  6. Step 6: Final answer
    x = 282.98

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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.