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Finding the Fourth Proportional to 569.39, 853.96 and 415.40

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Solution

The fourth proportional to 569.39, 853.96 and 415.40 is: 623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 853.96 = 415.40 : x
  2. Step 2: Convert to fraction form
    569.39/853.96 = 415.40/x
  3. Step 3: Cross multiply
    569.39x = 853.96 × 415.40
  4. Step 4: Simplify right side
    569.39x = 354,734.98
  5. Step 5: Solve for x
    x = 354,734.98/569.39
  6. Step 6: Final answer
    x = 623.01

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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.