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Finding the Fourth Proportional to 595.48, 819.93 and 506.80

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Solution

The fourth proportional to 595.48, 819.93 and 506.80 is: 697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.48 : 819.93 = 506.80 : x
  2. Step 2: Convert to fraction form
    595.48/819.93 = 506.80/x
  3. Step 3: Cross multiply
    595.48x = 819.93 × 506.80
  4. Step 4: Simplify right side
    595.48x = 415,540.52
  5. Step 5: Solve for x
    x = 415,540.52/595.48
  6. Step 6: Final answer
    x = 697.82

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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.