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Finding the Fourth Proportional to 511.74, 766.56 and 305.67

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Solution

The fourth proportional to 511.74, 766.56 and 305.67 is: 457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.74 : 766.56 = 305.67 : x
  2. Step 2: Convert to fraction form
    511.74/766.56 = 305.67/x
  3. Step 3: Cross multiply
    511.74x = 766.56 × 305.67
  4. Step 4: Simplify right side
    511.74x = 234,314.40
  5. Step 5: Solve for x
    x = 234,314.40/511.74
  6. Step 6: Final answer
    x = 457.88

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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.