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Finding the Fourth Proportional to 507.64, 762.36 and 377.68

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Solution

The fourth proportional to 507.64, 762.36 and 377.68 is: 567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 762.36 = 377.68 : x
  2. Step 2: Convert to fraction form
    507.64/762.36 = 377.68/x
  3. Step 3: Cross multiply
    507.64x = 762.36 × 377.68
  4. Step 4: Simplify right side
    507.64x = 287,928.12
  5. Step 5: Solve for x
    x = 287,928.12/507.64
  6. Step 6: Final answer
    x = 567.19

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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.