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Finding the Fourth Proportional to 513.13, 770 and 188.52

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Solution

The fourth proportional to 513.13, 770 and 188.52 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.13 : 770 = 188.52 : x
  2. Step 2: Convert to fraction form
    513.13/770 = 188.52/x
  3. Step 3: Cross multiply
    513.13x = 770 × 188.52
  4. Step 4: Simplify right side
    513.13x = 145,160.40
  5. Step 5: Solve for x
    x = 145,160.40/513.13
  6. Step 6: Final answer
    x = 282.89

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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.