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Finding the Fourth Proportional to 515.16, 776.22 and 425.86

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Solution

The fourth proportional to 515.16, 776.22 and 425.86 is: 641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.16 : 776.22 = 425.86 : x
  2. Step 2: Convert to fraction form
    515.16/776.22 = 425.86/x
  3. Step 3: Cross multiply
    515.16x = 776.22 × 425.86
  4. Step 4: Simplify right side
    515.16x = 330,561.05
  5. Step 5: Solve for x
    x = 330,561.05/515.16
  6. Step 6: Final answer
    x = 641.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.