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Finding the Fourth Proportional to 507.03, 698.88 and 366.94

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Solution

The fourth proportional to 507.03, 698.88 and 366.94 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.03 : 698.88 = 366.94 : x
  2. Step 2: Convert to fraction form
    507.03/698.88 = 366.94/x
  3. Step 3: Cross multiply
    507.03x = 698.88 × 366.94
  4. Step 4: Simplify right side
    507.03x = 256,447.03
  5. Step 5: Solve for x
    x = 256,447.03/507.03
  6. Step 6: Final answer
    x = 505.78

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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.