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Finding the Fourth Proportional to 570.51, 851.85 and 395.82

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Solution

The fourth proportional to 570.51, 851.85 and 395.82 is: 591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.51 : 851.85 = 395.82 : x
  2. Step 2: Convert to fraction form
    570.51/851.85 = 395.82/x
  3. Step 3: Cross multiply
    570.51x = 851.85 × 395.82
  4. Step 4: Simplify right side
    570.51x = 337,179.27
  5. Step 5: Solve for x
    x = 337,179.27/570.51
  6. Step 6: Final answer
    x = 591.01

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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.