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Finding the Fourth Proportional to 853.93, 1,281.30 and 415.72

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Solution

The fourth proportional to 853.93, 1,281.30 and 415.72 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.93 : 1,281.30 = 415.72 : x
  2. Step 2: Convert to fraction form
    853.93/1,281.30 = 415.72/x
  3. Step 3: Cross multiply
    853.93x = 1,281.30 × 415.72
  4. Step 4: Simplify right side
    853.93x = 532,662.04
  5. Step 5: Solve for x
    x = 532,662.04/853.93
  6. Step 6: Final answer
    x = 623.78

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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.