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Finding the Fourth Proportional to 572.04, 789.17 and 406.35

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Solution

The fourth proportional to 572.04, 789.17 and 406.35 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.04 : 789.17 = 406.35 : x
  2. Step 2: Convert to fraction form
    572.04/789.17 = 406.35/x
  3. Step 3: Cross multiply
    572.04x = 789.17 × 406.35
  4. Step 4: Simplify right side
    572.04x = 320,677.20
  5. Step 5: Solve for x
    x = 320,677.20/572.04
  6. Step 6: Final answer
    x = 560.59

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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.