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Finding the Fourth Proportional to 675.87, 932.82 and 645.09

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Solution

The fourth proportional to 675.87, 932.82 and 645.09 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.87 : 932.82 = 645.09 : x
  2. Step 2: Convert to fraction form
    675.87/932.82 = 645.09/x
  3. Step 3: Cross multiply
    675.87x = 932.82 × 645.09
  4. Step 4: Simplify right side
    675.87x = 601,752.85
  5. Step 5: Solve for x
    x = 601,752.85/675.87
  6. Step 6: Final answer
    x = 890.34

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1.5x scale

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.