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Finding the Fourth Proportional to 454.66, 626.15 and 413.66

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Solution

The fourth proportional to 454.66, 626.15 and 413.66 is: 569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.66 : 626.15 = 413.66 : x
  2. Step 2: Convert to fraction form
    454.66/626.15 = 413.66/x
  3. Step 3: Cross multiply
    454.66x = 626.15 × 413.66
  4. Step 4: Simplify right side
    454.66x = 259,009.96
  5. Step 5: Solve for x
    x = 259,009.96/454.66
  6. Step 6: Final answer
    x = 569.67

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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.