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Finding the Fourth Proportional to 577.44, 795.92 and 446.40

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Solution

The fourth proportional to 577.44, 795.92 and 446.40 is: 615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.44 : 795.92 = 446.40 : x
  2. Step 2: Convert to fraction form
    577.44/795.92 = 446.40/x
  3. Step 3: Cross multiply
    577.44x = 795.92 × 446.40
  4. Step 4: Simplify right side
    577.44x = 355,298.69
  5. Step 5: Solve for x
    x = 355,298.69/577.44
  6. Step 6: Final answer
    x = 615.30

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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.