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Finding the Fourth Proportional to 569.01, 853.21 and 260.52

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Solution

The fourth proportional to 569.01, 853.21 and 260.52 is: 390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.01 : 853.21 = 260.52 : x
  2. Step 2: Convert to fraction form
    569.01/853.21 = 260.52/x
  3. Step 3: Cross multiply
    569.01x = 853.21 × 260.52
  4. Step 4: Simplify right side
    569.01x = 222,278.27
  5. Step 5: Solve for x
    x = 222,278.27/569.01
  6. Step 6: Final answer
    x = 390.64

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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.