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Finding the Fourth Proportional to 577.14, 860.57 and 569.96

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Solution

The fourth proportional to 577.14, 860.57 and 569.96 is: 849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 860.57 = 569.96 : x
  2. Step 2: Convert to fraction form
    577.14/860.57 = 569.96/x
  3. Step 3: Cross multiply
    577.14x = 860.57 × 569.96
  4. Step 4: Simplify right side
    577.14x = 490,490.48
  5. Step 5: Solve for x
    x = 490,490.48/577.14
  6. Step 6: Final answer
    x = 849.86

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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.