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Finding the Fourth Proportional to 570.05, 854.31 and 277.19

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Solution

The fourth proportional to 570.05, 854.31 and 277.19 is: 415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.05 : 854.31 = 277.19 : x
  2. Step 2: Convert to fraction form
    570.05/854.31 = 277.19/x
  3. Step 3: Cross multiply
    570.05x = 854.31 × 277.19
  4. Step 4: Simplify right side
    570.05x = 236,806.16
  5. Step 5: Solve for x
    x = 236,806.16/570.05
  6. Step 6: Final answer
    x = 415.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.