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Finding the Fourth Proportional to 570.10, 853.71 and 539.86

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Solution

The fourth proportional to 570.10, 853.71 and 539.86 is: 808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.10 : 853.71 = 539.86 : x
  2. Step 2: Convert to fraction form
    570.10/853.71 = 539.86/x
  3. Step 3: Cross multiply
    570.10x = 853.71 × 539.86
  4. Step 4: Simplify right side
    570.10x = 460,883.88
  5. Step 5: Solve for x
    x = 460,883.88/570.10
  6. Step 6: Final answer
    x = 808.43

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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.