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Finding the Fourth Proportional to 477.97, 713.07 and 455.96

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Solution

The fourth proportional to 477.97, 713.07 and 455.96 is: 680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.97 : 713.07 = 455.96 : x
  2. Step 2: Convert to fraction form
    477.97/713.07 = 455.96/x
  3. Step 3: Cross multiply
    477.97x = 713.07 × 455.96
  4. Step 4: Simplify right side
    477.97x = 325,133.18
  5. Step 5: Solve for x
    x = 325,133.18/477.97
  6. Step 6: Final answer
    x = 680.24

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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.