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Finding the Fourth Proportional to 646.08, 974.40 and 634.56

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Solution

The fourth proportional to 646.08, 974.40 and 634.56 is: 957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.08 : 974.40 = 634.56 : x
  2. Step 2: Convert to fraction form
    646.08/974.40 = 634.56/x
  3. Step 3: Cross multiply
    646.08x = 974.40 × 634.56
  4. Step 4: Simplify right side
    646.08x = 618,315.26
  5. Step 5: Solve for x
    x = 618,315.26/646.08
  6. Step 6: Final answer
    x = 957.03

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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.