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Finding the Fourth Proportional to 646.26, 968.52 and 320.91

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Solution

The fourth proportional to 646.26, 968.52 and 320.91 is: 480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.26 : 968.52 = 320.91 : x
  2. Step 2: Convert to fraction form
    646.26/968.52 = 320.91/x
  3. Step 3: Cross multiply
    646.26x = 968.52 × 320.91
  4. Step 4: Simplify right side
    646.26x = 310,807.75
  5. Step 5: Solve for x
    x = 310,807.75/646.26
  6. Step 6: Final answer
    x = 480.93

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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.