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Finding the Fourth Proportional to 477.98, 713.07 and 455.30

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Solution

The fourth proportional to 477.98, 713.07 and 455.30 is: 679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 713.07 = 455.30 : x
  2. Step 2: Convert to fraction form
    477.98/713.07 = 455.30/x
  3. Step 3: Cross multiply
    477.98x = 713.07 × 455.30
  4. Step 4: Simplify right side
    477.98x = 324,660.77
  5. Step 5: Solve for x
    x = 324,660.77/477.98
  6. Step 6: Final answer
    x = 679.24

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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.