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Finding the Fourth Proportional to 507.88, 699.21 and 442.38

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Solution

The fourth proportional to 507.88, 699.21 and 442.38 is: 609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.88 : 699.21 = 442.38 : x
  2. Step 2: Convert to fraction form
    507.88/699.21 = 442.38/x
  3. Step 3: Cross multiply
    507.88x = 699.21 × 442.38
  4. Step 4: Simplify right side
    507.88x = 309,316.52
  5. Step 5: Solve for x
    x = 309,316.52/507.88
  6. Step 6: Final answer
    x = 609.03

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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.