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Finding the Fourth Proportional to 480.32, 720.48 and 377.65

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Solution

The fourth proportional to 480.32, 720.48 and 377.65 is: 566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 720.48 = 377.65 : x
  2. Step 2: Convert to fraction form
    480.32/720.48 = 377.65/x
  3. Step 3: Cross multiply
    480.32x = 720.48 × 377.65
  4. Step 4: Simplify right side
    480.32x = 272,089.27
  5. Step 5: Solve for x
    x = 272,089.27/480.32
  6. Step 6: Final answer
    x = 566.48

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