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Finding the Fourth Proportional to 480.09, 662.35 and 314.40

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Solution

The fourth proportional to 480.09, 662.35 and 314.40 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.09 : 662.35 = 314.40 : x
  2. Step 2: Convert to fraction form
    480.09/662.35 = 314.40/x
  3. Step 3: Cross multiply
    480.09x = 662.35 × 314.40
  4. Step 4: Simplify right side
    480.09x = 208,237.96
  5. Step 5: Solve for x
    x = 208,237.96/480.09
  6. Step 6: Final answer
    x = 433.75

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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.