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Finding the Fourth Proportional to 451.51, 681.51 and 451.51

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Solution

The fourth proportional to 451.51, 681.51 and 451.51 is: 681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.51 : 681.51 = 451.51 : x
  2. Step 2: Convert to fraction form
    451.51/681.51 = 451.51/x
  3. Step 3: Cross multiply
    451.51x = 681.51 × 451.51
  4. Step 4: Simplify right side
    451.51x = 307,708.58
  5. Step 5: Solve for x
    x = 307,708.58/451.51
  6. Step 6: Final answer
    x = 681.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.