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Finding the Fourth Proportional to 577.60, 793.76 and 520

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Solution

The fourth proportional to 577.60, 793.76 and 520 is: 714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 793.76 = 520 : x
  2. Step 2: Convert to fraction form
    577.60/793.76 = 520/x
  3. Step 3: Cross multiply
    577.60x = 793.76 × 520
  4. Step 4: Simplify right side
    577.60x = 412,755.20
  5. Step 5: Solve for x
    x = 412,755.20/577.60
  6. Step 6: Final answer
    x = 714.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.