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Finding the Fourth Proportional to 572.10, 789.63 and 339.18

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Solution

The fourth proportional to 572.10, 789.63 and 339.18 is: 468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.10 : 789.63 = 339.18 : x
  2. Step 2: Convert to fraction form
    572.10/789.63 = 339.18/x
  3. Step 3: Cross multiply
    572.10x = 789.63 × 339.18
  4. Step 4: Simplify right side
    572.10x = 267,826.70
  5. Step 5: Solve for x
    x = 267,826.70/572.10
  6. Step 6: Final answer
    x = 468.15

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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.