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Finding the Fourth Proportional to 570.53, 853.97 and 405.90

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Solution

The fourth proportional to 570.53, 853.97 and 405.90 is: 607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.53 : 853.97 = 405.90 : x
  2. Step 2: Convert to fraction form
    570.53/853.97 = 405.90/x
  3. Step 3: Cross multiply
    570.53x = 853.97 × 405.90
  4. Step 4: Simplify right side
    570.53x = 346,624.39
  5. Step 5: Solve for x
    x = 346,624.39/570.53
  6. Step 6: Final answer
    x = 607.55

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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.