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Finding the Fourth Proportional to 579.29, 869.56 and 417.69

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Solution

The fourth proportional to 579.29, 869.56 and 417.69 is: 626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.29 : 869.56 = 417.69 : x
  2. Step 2: Convert to fraction form
    579.29/869.56 = 417.69/x
  3. Step 3: Cross multiply
    579.29x = 869.56 × 417.69
  4. Step 4: Simplify right side
    579.29x = 363,205.47
  5. Step 5: Solve for x
    x = 363,205.47/579.29
  6. Step 6: Final answer
    x = 626.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.