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Finding the Fourth Proportional to 577.96, 797.44 and 430.64

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Solution

The fourth proportional to 577.96, 797.44 and 430.64 is: 594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.96 : 797.44 = 430.64 : x
  2. Step 2: Convert to fraction form
    577.96/797.44 = 430.64/x
  3. Step 3: Cross multiply
    577.96x = 797.44 × 430.64
  4. Step 4: Simplify right side
    577.96x = 343,409.56
  5. Step 5: Solve for x
    x = 343,409.56/577.96
  6. Step 6: Final answer
    x = 594.18

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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.