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Finding the Fourth Proportional to 503.85, 759.21 and 414.56

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Solution

The fourth proportional to 503.85, 759.21 and 414.56 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.85 : 759.21 = 414.56 : x
  2. Step 2: Convert to fraction form
    503.85/759.21 = 414.56/x
  3. Step 3: Cross multiply
    503.85x = 759.21 × 414.56
  4. Step 4: Simplify right side
    503.85x = 314,734.30
  5. Step 5: Solve for x
    x = 314,734.30/503.85
  6. Step 6: Final answer
    x = 624.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.