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Finding the Fourth Proportional to 572.95, 789.75 and 415.60

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Solution

The fourth proportional to 572.95, 789.75 and 415.60 is: 572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.95 : 789.75 = 415.60 : x
  2. Step 2: Convert to fraction form
    572.95/789.75 = 415.60/x
  3. Step 3: Cross multiply
    572.95x = 789.75 × 415.60
  4. Step 4: Simplify right side
    572.95x = 328,220.10
  5. Step 5: Solve for x
    x = 328,220.10/572.95
  6. Step 6: Final answer
    x = 572.86

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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.