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Finding the Fourth Proportional to 595.31, 890.78 and 518.54

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Solution

The fourth proportional to 595.31, 890.78 and 518.54 is: 775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.31 : 890.78 = 518.54 : x
  2. Step 2: Convert to fraction form
    595.31/890.78 = 518.54/x
  3. Step 3: Cross multiply
    595.31x = 890.78 × 518.54
  4. Step 4: Simplify right side
    595.31x = 461,898.01
  5. Step 5: Solve for x
    x = 461,898.01/595.31
  6. Step 6: Final answer
    x = 775.90

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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.