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Finding the Fourth Proportional to 507.42, 759.60 and 377.99

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Solution

The fourth proportional to 507.42, 759.60 and 377.99 is: 565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 759.60 = 377.99 : x
  2. Step 2: Convert to fraction form
    507.42/759.60 = 377.99/x
  3. Step 3: Cross multiply
    507.42x = 759.60 × 377.99
  4. Step 4: Simplify right side
    507.42x = 287,117.41
  5. Step 5: Solve for x
    x = 287,117.41/507.42
  6. Step 6: Final answer
    x = 565.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.