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Finding the Fourth Proportional to 482.54, 666.38 and 412.19

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Solution

The fourth proportional to 482.54, 666.38 and 412.19 is: 569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.54 : 666.38 = 412.19 : x
  2. Step 2: Convert to fraction form
    482.54/666.38 = 412.19/x
  3. Step 3: Cross multiply
    482.54x = 666.38 × 412.19
  4. Step 4: Simplify right side
    482.54x = 274,672.11
  5. Step 5: Solve for x
    x = 274,672.11/482.54
  6. Step 6: Final answer
    x = 569.22

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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.