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Finding the Fourth Proportional to 460.85, 635.74 and 313.67

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Solution

The fourth proportional to 460.85, 635.74 and 313.67 is: 432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.85 : 635.74 = 313.67 : x
  2. Step 2: Convert to fraction form
    460.85/635.74 = 313.67/x
  3. Step 3: Cross multiply
    460.85x = 635.74 × 313.67
  4. Step 4: Simplify right side
    460.85x = 199,413.37
  5. Step 5: Solve for x
    x = 199,413.37/460.85
  6. Step 6: Final answer
    x = 432.71

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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.