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Finding the Fourth Proportional to 646.17, 891.38 and 409.68

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Solution

The fourth proportional to 646.17, 891.38 and 409.68 is: 565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 891.38 = 409.68 : x
  2. Step 2: Convert to fraction form
    646.17/891.38 = 409.68/x
  3. Step 3: Cross multiply
    646.17x = 891.38 × 409.68
  4. Step 4: Simplify right side
    646.17x = 365,178.51
  5. Step 5: Solve for x
    x = 365,178.51/646.17
  6. Step 6: Final answer
    x = 565.14

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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.