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Finding the Fourth Proportional to 518.19, 773.47 and 456.67

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Solution

The fourth proportional to 518.19, 773.47 and 456.67 is: 681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.19 : 773.47 = 456.67 : x
  2. Step 2: Convert to fraction form
    518.19/773.47 = 456.67/x
  3. Step 3: Cross multiply
    518.19x = 773.47 × 456.67
  4. Step 4: Simplify right side
    518.19x = 353,220.54
  5. Step 5: Solve for x
    x = 353,220.54/518.19
  6. Step 6: Final answer
    x = 681.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.