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Finding the Fourth Proportional to 577.98, 865.76 and 480.29

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Solution

The fourth proportional to 577.98, 865.76 and 480.29 is: 719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.98 : 865.76 = 480.29 : x
  2. Step 2: Convert to fraction form
    577.98/865.76 = 480.29/x
  3. Step 3: Cross multiply
    577.98x = 865.76 × 480.29
  4. Step 4: Simplify right side
    577.98x = 415,809.14
  5. Step 5: Solve for x
    x = 415,809.14/577.98
  6. Step 6: Final answer
    x = 719.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.