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Finding the Fourth Proportional to 577.64, 861.32 and 570.47

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Solution

The fourth proportional to 577.64, 861.32 and 570.47 is: 850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.64 : 861.32 = 570.47 : x
  2. Step 2: Convert to fraction form
    577.64/861.32 = 570.47/x
  3. Step 3: Cross multiply
    577.64x = 861.32 × 570.47
  4. Step 4: Simplify right side
    577.64x = 491,350.06
  5. Step 5: Solve for x
    x = 491,350.06/577.64
  6. Step 6: Final answer
    x = 850.62

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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.