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Finding the Fourth Proportional to 572.34, 789.93 and 417

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Solution

The fourth proportional to 572.34, 789.93 and 417 is: 575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.34 : 789.93 = 417 : x
  2. Step 2: Convert to fraction form
    572.34/789.93 = 417/x
  3. Step 3: Cross multiply
    572.34x = 789.93 × 417
  4. Step 4: Simplify right side
    572.34x = 329,400.81
  5. Step 5: Solve for x
    x = 329,400.81/572.34
  6. Step 6: Final answer
    x = 575.53

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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.