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Finding the Fourth Proportional to 676.99, 932.20 and 578.53

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Solution

The fourth proportional to 676.99, 932.20 and 578.53 is: 796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.99 : 932.20 = 578.53 : x
  2. Step 2: Convert to fraction form
    676.99/932.20 = 578.53/x
  3. Step 3: Cross multiply
    676.99x = 932.20 × 578.53
  4. Step 4: Simplify right side
    676.99x = 539,305.67
  5. Step 5: Solve for x
    x = 539,305.67/676.99
  6. Step 6: Final answer
    x = 796.62

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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.