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Finding the Fourth Proportional to 572.48, 790.02 and 323.80

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Solution

The fourth proportional to 572.48, 790.02 and 323.80 is: 446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.48 : 790.02 = 323.80 : x
  2. Step 2: Convert to fraction form
    572.48/790.02 = 323.80/x
  3. Step 3: Cross multiply
    572.48x = 790.02 × 323.80
  4. Step 4: Simplify right side
    572.48x = 255,808.48
  5. Step 5: Solve for x
    x = 255,808.48/572.48
  6. Step 6: Final answer
    x = 446.84

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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.