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Finding the Fourth Proportional to 577.99, 862.87 and 557.74

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Solution

The fourth proportional to 577.99, 862.87 and 557.74 is: 832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.99 : 862.87 = 557.74 : x
  2. Step 2: Convert to fraction form
    577.99/862.87 = 557.74/x
  3. Step 3: Cross multiply
    577.99x = 862.87 × 557.74
  4. Step 4: Simplify right side
    577.99x = 481,257.11
  5. Step 5: Solve for x
    x = 481,257.11/577.99
  6. Step 6: Final answer
    x = 832.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.