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Finding the Fourth Proportional to 572.90, 790.11 and 406.80

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Solution

The fourth proportional to 572.90, 790.11 and 406.80 is: 561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.90 : 790.11 = 406.80 : x
  2. Step 2: Convert to fraction form
    572.90/790.11 = 406.80/x
  3. Step 3: Cross multiply
    572.90x = 790.11 × 406.80
  4. Step 4: Simplify right side
    572.90x = 321,416.75
  5. Step 5: Solve for x
    x = 321,416.75/572.90
  6. Step 6: Final answer
    x = 561.04

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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.