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Finding the Fourth Proportional to 585.68, 808.20 and 323.69

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Solution

The fourth proportional to 585.68, 808.20 and 323.69 is: 446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 808.20 = 323.69 : x
  2. Step 2: Convert to fraction form
    585.68/808.20 = 323.69/x
  3. Step 3: Cross multiply
    585.68x = 808.20 × 323.69
  4. Step 4: Simplify right side
    585.68x = 261,602.22
  5. Step 5: Solve for x
    x = 261,602.22/585.68
  6. Step 6: Final answer
    x = 446.67

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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.