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Finding the Fourth Proportional to 572.71, 790.22 and 323.93

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Solution

The fourth proportional to 572.71, 790.22 and 323.93 is: 446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.71 : 790.22 = 323.93 : x
  2. Step 2: Convert to fraction form
    572.71/790.22 = 323.93/x
  3. Step 3: Cross multiply
    572.71x = 790.22 × 323.93
  4. Step 4: Simplify right side
    572.71x = 255,975.96
  5. Step 5: Solve for x
    x = 255,975.96/572.71
  6. Step 6: Final answer
    x = 446.96

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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.