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Finding the Fourth Proportional to 810.59, 1,215.64 and 225.45

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Solution

The fourth proportional to 810.59, 1,215.64 and 225.45 is: 338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.59 : 1,215.64 = 225.45 : x
  2. Step 2: Convert to fraction form
    810.59/1,215.64 = 225.45/x
  3. Step 3: Cross multiply
    810.59x = 1,215.64 × 225.45
  4. Step 4: Simplify right side
    810.59x = 274,065.47
  5. Step 5: Solve for x
    x = 274,065.47/810.59
  6. Step 6: Final answer
    x = 338.11

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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.