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Finding the Fourth Proportional to 478.08, 716.99 and 304.49

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Solution

The fourth proportional to 478.08, 716.99 and 304.49 is: 456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.08 : 716.99 = 304.49 : x
  2. Step 2: Convert to fraction form
    478.08/716.99 = 304.49/x
  3. Step 3: Cross multiply
    478.08x = 716.99 × 304.49
  4. Step 4: Simplify right side
    478.08x = 218,311.18
  5. Step 5: Solve for x
    x = 218,311.18/478.08
  6. Step 6: Final answer
    x = 456.64

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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.