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Finding the Fourth Proportional to 513, 706.86 and 365.58

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Solution

The fourth proportional to 513, 706.86 and 365.58 is: 503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 706.86 = 365.58 : x
  2. Step 2: Convert to fraction form
    513/706.86 = 365.58/x
  3. Step 3: Cross multiply
    513x = 706.86 × 365.58
  4. Step 4: Simplify right side
    513x = 258,413.88
  5. Step 5: Solve for x
    x = 258,413.88/513
  6. Step 6: Final answer
    x = 503.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.