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Finding the Fourth Proportional to 646.39, 891.68 and 409.93

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Solution

The fourth proportional to 646.39, 891.68 and 409.93 is: 565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.39 : 891.68 = 409.93 : x
  2. Step 2: Convert to fraction form
    646.39/891.68 = 409.93/x
  3. Step 3: Cross multiply
    646.39x = 891.68 × 409.93
  4. Step 4: Simplify right side
    646.39x = 365,526.38
  5. Step 5: Solve for x
    x = 365,526.38/646.39
  6. Step 6: Final answer
    x = 565.49

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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.