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Finding the Fourth Proportional to 540.80, 811.84 and 370.88

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Solution

The fourth proportional to 540.80, 811.84 and 370.88 is: 556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 811.84 = 370.88 : x
  2. Step 2: Convert to fraction form
    540.80/811.84 = 370.88/x
  3. Step 3: Cross multiply
    540.80x = 811.84 × 370.88
  4. Step 4: Simplify right side
    540.80x = 301,095.22
  5. Step 5: Solve for x
    x = 301,095.22/540.80
  6. Step 6: Final answer
    x = 556.76

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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.