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Finding the Fourth Proportional to 477.39, 713.40 and 451.06

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Solution

The fourth proportional to 477.39, 713.40 and 451.06 is: 674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.39 : 713.40 = 451.06 : x
  2. Step 2: Convert to fraction form
    477.39/713.40 = 451.06/x
  3. Step 3: Cross multiply
    477.39x = 713.40 × 451.06
  4. Step 4: Simplify right side
    477.39x = 321,786.20
  5. Step 5: Solve for x
    x = 321,786.20/477.39
  6. Step 6: Final answer
    x = 674.05

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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.