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Finding the Fourth Proportional to 569.55, 853.07 and 325.92

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Solution

The fourth proportional to 569.55, 853.07 and 325.92 is: 488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.55 : 853.07 = 325.92 : x
  2. Step 2: Convert to fraction form
    569.55/853.07 = 325.92/x
  3. Step 3: Cross multiply
    569.55x = 853.07 × 325.92
  4. Step 4: Simplify right side
    569.55x = 278,030.94
  5. Step 5: Solve for x
    x = 278,030.94/569.55
  6. Step 6: Final answer
    x = 488.16

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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.