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Finding the Fourth Proportional to 595.60, 821.78 and 359.69

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Solution

The fourth proportional to 595.60, 821.78 and 359.69 is: 496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.60 : 821.78 = 359.69 : x
  2. Step 2: Convert to fraction form
    595.60/821.78 = 359.69/x
  3. Step 3: Cross multiply
    595.60x = 821.78 × 359.69
  4. Step 4: Simplify right side
    595.60x = 295,581.49
  5. Step 5: Solve for x
    x = 295,581.49/595.60
  6. Step 6: Final answer
    x = 496.27

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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.