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Finding the Fourth Proportional to 423.89, 585.39 and 322.77

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Solution

The fourth proportional to 423.89, 585.39 and 322.77 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.89 : 585.39 = 322.77 : x
  2. Step 2: Convert to fraction form
    423.89/585.39 = 322.77/x
  3. Step 3: Cross multiply
    423.89x = 585.39 × 322.77
  4. Step 4: Simplify right side
    423.89x = 188,946.33
  5. Step 5: Solve for x
    x = 188,946.33/423.89
  6. Step 6: Final answer
    x = 445.74

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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.