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Finding the Fourth Proportional to 505.10, 696.23 and 377.14

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Solution

The fourth proportional to 505.10, 696.23 and 377.14 is: 519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.10 : 696.23 = 377.14 : x
  2. Step 2: Convert to fraction form
    505.10/696.23 = 377.14/x
  3. Step 3: Cross multiply
    505.10x = 696.23 × 377.14
  4. Step 4: Simplify right side
    505.10x = 262,575.28
  5. Step 5: Solve for x
    x = 262,575.28/505.10
  6. Step 6: Final answer
    x = 519.85

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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.