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Finding the Fourth Proportional to 522.05, 779.94 and 461.84

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Solution

The fourth proportional to 522.05, 779.94 and 461.84 is: 689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.05 : 779.94 = 461.84 : x
  2. Step 2: Convert to fraction form
    522.05/779.94 = 461.84/x
  3. Step 3: Cross multiply
    522.05x = 779.94 × 461.84
  4. Step 4: Simplify right side
    522.05x = 360,205.18
  5. Step 5: Solve for x
    x = 360,205.18/522.05
  6. Step 6: Final answer
    x = 689.98

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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.