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Finding the Fourth Proportional to 577.77, 792.13 and 567.40

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Solution

The fourth proportional to 577.77, 792.13 and 567.40 is: 777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.77 : 792.13 = 567.40 : x
  2. Step 2: Convert to fraction form
    577.77/792.13 = 567.40/x
  3. Step 3: Cross multiply
    577.77x = 792.13 × 567.40
  4. Step 4: Simplify right side
    577.77x = 449,454.56
  5. Step 5: Solve for x
    x = 449,454.56/577.77
  6. Step 6: Final answer
    x = 777.91

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Why These Related Problems?

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