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Finding the Fourth Proportional to 646.36, 968.58 and 440.23

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Solution

The fourth proportional to 646.36, 968.58 and 440.23 is: 659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.36 : 968.58 = 440.23 : x
  2. Step 2: Convert to fraction form
    646.36/968.58 = 440.23/x
  3. Step 3: Cross multiply
    646.36x = 968.58 × 440.23
  4. Step 4: Simplify right side
    646.36x = 426,397.97
  5. Step 5: Solve for x
    x = 426,397.97/646.36
  6. Step 6: Final answer
    x = 659.69

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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.