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Finding the Fourth Proportional to 480.46, 662.88 and 314.86

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Solution

The fourth proportional to 480.46, 662.88 and 314.86 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.46 : 662.88 = 314.86 : x
  2. Step 2: Convert to fraction form
    480.46/662.88 = 314.86/x
  3. Step 3: Cross multiply
    480.46x = 662.88 × 314.86
  4. Step 4: Simplify right side
    480.46x = 208,714.40
  5. Step 5: Solve for x
    x = 208,714.40/480.46
  6. Step 6: Final answer
    x = 434.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.