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Finding the Fourth Proportional to 570.37, 854.22 and 495.29

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Solution

The fourth proportional to 570.37, 854.22 and 495.29 is: 741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.37 : 854.22 = 495.29 : x
  2. Step 2: Convert to fraction form
    570.37/854.22 = 495.29/x
  3. Step 3: Cross multiply
    570.37x = 854.22 × 495.29
  4. Step 4: Simplify right side
    570.37x = 423,086.82
  5. Step 5: Solve for x
    x = 423,086.82/570.37
  6. Step 6: Final answer
    x = 741.78

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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.