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Finding the Fourth Proportional to 596.57, 819.81 and 491.46

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Solution

The fourth proportional to 596.57, 819.81 and 491.46 is: 675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 819.81 = 491.46 : x
  2. Step 2: Convert to fraction form
    596.57/819.81 = 491.46/x
  3. Step 3: Cross multiply
    596.57x = 819.81 × 491.46
  4. Step 4: Simplify right side
    596.57x = 402,903.82
  5. Step 5: Solve for x
    x = 402,903.82/596.57
  6. Step 6: Final answer
    x = 675.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.