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Finding the Fourth Proportional to 646.60, 891.73 and 522.22

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Solution

The fourth proportional to 646.60, 891.73 and 522.22 is: 720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.60 : 891.73 = 522.22 : x
  2. Step 2: Convert to fraction form
    646.60/891.73 = 522.22/x
  3. Step 3: Cross multiply
    646.60x = 891.73 × 522.22
  4. Step 4: Simplify right side
    646.60x = 465,679.24
  5. Step 5: Solve for x
    x = 465,679.24/646.60
  6. Step 6: Final answer
    x = 720.20

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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.