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Finding the Fourth Proportional to 507.55, 699.74 and 380.97

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Solution

The fourth proportional to 507.55, 699.74 and 380.97 is: 525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.55 : 699.74 = 380.97 : x
  2. Step 2: Convert to fraction form
    507.55/699.74 = 380.97/x
  3. Step 3: Cross multiply
    507.55x = 699.74 × 380.97
  4. Step 4: Simplify right side
    507.55x = 266,579.95
  5. Step 5: Solve for x
    x = 266,579.95/507.55
  6. Step 6: Final answer
    x = 525.23

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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.