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Finding the Fourth Proportional to 478.80, 719.28 and 383.04

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Solution

The fourth proportional to 478.80, 719.28 and 383.04 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.80 : 719.28 = 383.04 : x
  2. Step 2: Convert to fraction form
    478.80/719.28 = 383.04/x
  3. Step 3: Cross multiply
    478.80x = 719.28 × 383.04
  4. Step 4: Simplify right side
    478.80x = 275,513.01
  5. Step 5: Solve for x
    x = 275,513.01/478.80
  6. Step 6: Final answer
    x = 575.42

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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.