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Finding the Fourth Proportional to 507.22, 699.49 and 320.39

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Solution

The fourth proportional to 507.22, 699.49 and 320.39 is: 441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.22 : 699.49 = 320.39 : x
  2. Step 2: Convert to fraction form
    507.22/699.49 = 320.39/x
  3. Step 3: Cross multiply
    507.22x = 699.49 × 320.39
  4. Step 4: Simplify right side
    507.22x = 224,109.13
  5. Step 5: Solve for x
    x = 224,109.13/507.22
  6. Step 6: Final answer
    x = 441.84

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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.