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Finding the Fourth Proportional to 507.22, 699.69 and 320.65

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Solution

The fourth proportional to 507.22, 699.69 and 320.65 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.22 : 699.69 = 320.65 : x
  2. Step 2: Convert to fraction form
    507.22/699.69 = 320.65/x
  3. Step 3: Cross multiply
    507.22x = 699.69 × 320.65
  4. Step 4: Simplify right side
    507.22x = 224,355.60
  5. Step 5: Solve for x
    x = 224,355.60/507.22
  6. Step 6: Final answer
    x = 442.32

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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.