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Finding the Fourth Proportional to 595.63, 819.23 and 521.82

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Solution

The fourth proportional to 595.63, 819.23 and 521.82 is: 717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.63 : 819.23 = 521.82 : x
  2. Step 2: Convert to fraction form
    595.63/819.23 = 521.82/x
  3. Step 3: Cross multiply
    595.63x = 819.23 × 521.82
  4. Step 4: Simplify right side
    595.63x = 427,483.89
  5. Step 5: Solve for x
    x = 427,483.89/595.63
  6. Step 6: Final answer
    x = 717.71

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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.