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Finding the Fourth Proportional to 551.51, 761.41 and 412.39

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Solution

The fourth proportional to 551.51, 761.41 and 412.39 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.51 : 761.41 = 412.39 : x
  2. Step 2: Convert to fraction form
    551.51/761.41 = 412.39/x
  3. Step 3: Cross multiply
    551.51x = 761.41 × 412.39
  4. Step 4: Simplify right side
    551.51x = 313,997.87
  5. Step 5: Solve for x
    x = 313,997.87/551.51
  6. Step 6: Final answer
    x = 569.34

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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.