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Finding the Fourth Proportional to 577.94, 797.97 and 412.32

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Solution

The fourth proportional to 577.94, 797.97 and 412.32 is: 569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.94 : 797.97 = 412.32 : x
  2. Step 2: Convert to fraction form
    577.94/797.97 = 412.32/x
  3. Step 3: Cross multiply
    577.94x = 797.97 × 412.32
  4. Step 4: Simplify right side
    577.94x = 329,018.99
  5. Step 5: Solve for x
    x = 329,018.99/577.94
  6. Step 6: Final answer
    x = 569.30

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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.