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Finding the Fourth Proportional to 480.80, 718.12 and 384.32

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Solution

The fourth proportional to 480.80, 718.12 and 384.32 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.80 : 718.12 = 384.32 : x
  2. Step 2: Convert to fraction form
    480.80/718.12 = 384.32/x
  3. Step 3: Cross multiply
    480.80x = 718.12 × 384.32
  4. Step 4: Simplify right side
    480.80x = 275,987.88
  5. Step 5: Solve for x
    x = 275,987.88/480.80
  6. Step 6: Final answer
    x = 574.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.