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Finding the Fourth Proportional to 507.70, 699.42 and 418.60

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Solution

The fourth proportional to 507.70, 699.42 and 418.60 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.70 : 699.42 = 418.60 : x
  2. Step 2: Convert to fraction form
    507.70/699.42 = 418.60/x
  3. Step 3: Cross multiply
    507.70x = 699.42 × 418.60
  4. Step 4: Simplify right side
    507.70x = 292,777.21
  5. Step 5: Solve for x
    x = 292,777.21/507.70
  6. Step 6: Final answer
    x = 576.67

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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.