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Finding the Fourth Proportional to 538.80, 809.80 and 468.40

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Solution

The fourth proportional to 538.80, 809.80 and 468.40 is: 703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.80 : 809.80 = 468.40 : x
  2. Step 2: Convert to fraction form
    538.80/809.80 = 468.40/x
  3. Step 3: Cross multiply
    538.80x = 809.80 × 468.40
  4. Step 4: Simplify right side
    538.80x = 379,310.32
  5. Step 5: Solve for x
    x = 379,310.32/538.80
  6. Step 6: Final answer
    x = 703.99

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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.