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Finding the Fourth Proportional to 480.71, 662.90 and 314.63

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Solution

The fourth proportional to 480.71, 662.90 and 314.63 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.71 : 662.90 = 314.63 : x
  2. Step 2: Convert to fraction form
    480.71/662.90 = 314.63/x
  3. Step 3: Cross multiply
    480.71x = 662.90 × 314.63
  4. Step 4: Simplify right side
    480.71x = 208,563.34
  5. Step 5: Solve for x
    x = 208,563.34/480.71
  6. Step 6: Final answer
    x = 433.87

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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.