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Finding the Fourth Proportional to 597.76, 823.89 and 420.80

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Solution

The fourth proportional to 597.76, 823.89 and 420.80 is: 579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 823.89 = 420.80 : x
  2. Step 2: Convert to fraction form
    597.76/823.89 = 420.80/x
  3. Step 3: Cross multiply
    597.76x = 823.89 × 420.80
  4. Step 4: Simplify right side
    597.76x = 346,692.91
  5. Step 5: Solve for x
    x = 346,692.91/597.76
  6. Step 6: Final answer
    x = 579.99

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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.