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Finding the Fourth Proportional to 412.69, 569.97 and 320.55

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Solution

The fourth proportional to 412.69, 569.97 and 320.55 is: 442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.69 : 569.97 = 320.55 : x
  2. Step 2: Convert to fraction form
    412.69/569.97 = 320.55/x
  3. Step 3: Cross multiply
    412.69x = 569.97 × 320.55
  4. Step 4: Simplify right side
    412.69x = 182,703.88
  5. Step 5: Solve for x
    x = 182,703.88/412.69
  6. Step 6: Final answer
    x = 442.71

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.