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Finding the Fourth Proportional to 577.24, 795.42 and 402.28

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Solution

The fourth proportional to 577.24, 795.42 and 402.28 is: 554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.24 : 795.42 = 402.28 : x
  2. Step 2: Convert to fraction form
    577.24/795.42 = 402.28/x
  3. Step 3: Cross multiply
    577.24x = 795.42 × 402.28
  4. Step 4: Simplify right side
    577.24x = 319,981.56
  5. Step 5: Solve for x
    x = 319,981.56/577.24
  6. Step 6: Final answer
    x = 554.33

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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.