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Finding the Fourth Proportional to 511.83, 704.63 and 442.78

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Solution

The fourth proportional to 511.83, 704.63 and 442.78 is: 609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.83 : 704.63 = 442.78 : x
  2. Step 2: Convert to fraction form
    511.83/704.63 = 442.78/x
  3. Step 3: Cross multiply
    511.83x = 704.63 × 442.78
  4. Step 4: Simplify right side
    511.83x = 311,995.42
  5. Step 5: Solve for x
    x = 311,995.42/511.83
  6. Step 6: Final answer
    x = 609.57

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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.