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Finding the Fourth Proportional to 451.88, 681.83 and 435

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Solution

The fourth proportional to 451.88, 681.83 and 435 is: 656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.88 : 681.83 = 435 : x
  2. Step 2: Convert to fraction form
    451.88/681.83 = 435/x
  3. Step 3: Cross multiply
    451.88x = 681.83 × 435
  4. Step 4: Simplify right side
    451.88x = 296,596.05
  5. Step 5: Solve for x
    x = 296,596.05/451.88
  6. Step 6: Final answer
    x = 656.36

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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.