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Finding the Fourth Proportional to 577.93, 797.43 and 400.62

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Solution

The fourth proportional to 577.93, 797.43 and 400.62 is: 552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.93 : 797.43 = 400.62 : x
  2. Step 2: Convert to fraction form
    577.93/797.43 = 400.62/x
  3. Step 3: Cross multiply
    577.93x = 797.43 × 400.62
  4. Step 4: Simplify right side
    577.93x = 319,466.41
  5. Step 5: Solve for x
    x = 319,466.41/577.93
  6. Step 6: Final answer
    x = 552.78

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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.