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Finding the Fourth Proportional to 577.62, 796.32 and 472.50

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Solution

The fourth proportional to 577.62, 796.32 and 472.50 is: 651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.62 : 796.32 = 472.50 : x
  2. Step 2: Convert to fraction form
    577.62/796.32 = 472.50/x
  3. Step 3: Cross multiply
    577.62x = 796.32 × 472.50
  4. Step 4: Simplify right side
    577.62x = 376,261.20
  5. Step 5: Solve for x
    x = 376,261.20/577.62
  6. Step 6: Final answer
    x = 651.40

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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.