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Finding the Fourth Proportional to 646.89, 969.66 and 451.95

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Solution

The fourth proportional to 646.89, 969.66 and 451.95 is: 677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.89 : 969.66 = 451.95 : x
  2. Step 2: Convert to fraction form
    646.89/969.66 = 451.95/x
  3. Step 3: Cross multiply
    646.89x = 969.66 × 451.95
  4. Step 4: Simplify right side
    646.89x = 438,237.84
  5. Step 5: Solve for x
    x = 438,237.84/646.89
  6. Step 6: Final answer
    x = 677.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.