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Finding the Fourth Proportional to 577.68, 795.96 and 422.16

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Solution

The fourth proportional to 577.68, 795.96 and 422.16 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 795.96 = 422.16 : x
  2. Step 2: Convert to fraction form
    577.68/795.96 = 422.16/x
  3. Step 3: Cross multiply
    577.68x = 795.96 × 422.16
  4. Step 4: Simplify right side
    577.68x = 336,022.47
  5. Step 5: Solve for x
    x = 336,022.47/577.68
  6. Step 6: Final answer
    x = 581.68

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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.