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Finding the Fourth Proportional to 577.42, 794.77 and 483.13

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Solution

The fourth proportional to 577.42, 794.77 and 483.13 is: 664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.42 : 794.77 = 483.13 : x
  2. Step 2: Convert to fraction form
    577.42/794.77 = 483.13/x
  3. Step 3: Cross multiply
    577.42x = 794.77 × 483.13
  4. Step 4: Simplify right side
    577.42x = 383,977.23
  5. Step 5: Solve for x
    x = 383,977.23/577.42
  6. Step 6: Final answer
    x = 664.99

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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.