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Finding the Fourth Proportional to 810.79, 1,216.08 and 225.83

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Solution

The fourth proportional to 810.79, 1,216.08 and 225.83 is: 338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.79 : 1,216.08 = 225.83 : x
  2. Step 2: Convert to fraction form
    810.79/1,216.08 = 225.83/x
  3. Step 3: Cross multiply
    810.79x = 1,216.08 × 225.83
  4. Step 4: Simplify right side
    810.79x = 274,627.35
  5. Step 5: Solve for x
    x = 274,627.35/810.79
  6. Step 6: Final answer
    x = 338.72

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1.5x scale

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.