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Finding the Fourth Proportional to 892.80, 1,337.40 and 619.20

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Solution

The fourth proportional to 892.80, 1,337.40 and 619.20 is: 927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.80 : 1,337.40 = 619.20 : x
  2. Step 2: Convert to fraction form
    892.80/1,337.40 = 619.20/x
  3. Step 3: Cross multiply
    892.80x = 1,337.40 × 619.20
  4. Step 4: Simplify right side
    892.80x = 828,118.08
  5. Step 5: Solve for x
    x = 828,118.08/892.80
  6. Step 6: Final answer
    x = 927.55

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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.