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Finding the Fourth Proportional to 646.33, 969.28 and 415.48

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Solution

The fourth proportional to 646.33, 969.28 and 415.48 is: 623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.33 : 969.28 = 415.48 : x
  2. Step 2: Convert to fraction form
    646.33/969.28 = 415.48/x
  3. Step 3: Cross multiply
    646.33x = 969.28 × 415.48
  4. Step 4: Simplify right side
    646.33x = 402,716.45
  5. Step 5: Solve for x
    x = 402,716.45/646.33
  6. Step 6: Final answer
    x = 623.08

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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.