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Finding the Fourth Proportional to 503.70, 696.39 and 379.99

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Solution

The fourth proportional to 503.70, 696.39 and 379.99 is: 525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.70 : 696.39 = 379.99 : x
  2. Step 2: Convert to fraction form
    503.70/696.39 = 379.99/x
  3. Step 3: Cross multiply
    503.70x = 696.39 × 379.99
  4. Step 4: Simplify right side
    503.70x = 264,621.24
  5. Step 5: Solve for x
    x = 264,621.24/503.70
  6. Step 6: Final answer
    x = 525.35

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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.