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Finding the Fourth Proportional to 853.21, 1,277.18 and 477.44

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Solution

The fourth proportional to 853.21, 1,277.18 and 477.44 is: 714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.21 : 1,277.18 = 477.44 : x
  2. Step 2: Convert to fraction form
    853.21/1,277.18 = 477.44/x
  3. Step 3: Cross multiply
    853.21x = 1,277.18 × 477.44
  4. Step 4: Simplify right side
    853.21x = 609,777.31
  5. Step 5: Solve for x
    x = 609,777.31/853.21
  6. Step 6: Final answer
    x = 714.69

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Double scale
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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.