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Finding the Fourth Proportional to 451.40, 681.32 and 451.40

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Solution

The fourth proportional to 451.40, 681.32 and 451.40 is: 681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.40 : 681.32 = 451.40 : x
  2. Step 2: Convert to fraction form
    451.40/681.32 = 451.40/x
  3. Step 3: Cross multiply
    451.40x = 681.32 × 451.40
  4. Step 4: Simplify right side
    451.40x = 307,542.18
  5. Step 5: Solve for x
    x = 307,542.18/451.40
  6. Step 6: Final answer
    x = 681.32

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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.