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Finding the Fourth Proportional to 646.73, 891.21 and 459.90

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Solution

The fourth proportional to 646.73, 891.21 and 459.90 is: 633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.73 : 891.21 = 459.90 : x
  2. Step 2: Convert to fraction form
    646.73/891.21 = 459.90/x
  3. Step 3: Cross multiply
    646.73x = 891.21 × 459.90
  4. Step 4: Simplify right side
    646.73x = 409,869.20
  5. Step 5: Solve for x
    x = 409,869.20/646.73
  6. Step 6: Final answer
    x = 633.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.