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Finding the Fourth Proportional to 810.85, 1,119.06 and 461.50

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Solution

The fourth proportional to 810.85, 1,119.06 and 461.50 is: 636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.85 : 1,119.06 = 461.50 : x
  2. Step 2: Convert to fraction form
    810.85/1,119.06 = 461.50/x
  3. Step 3: Cross multiply
    810.85x = 1,119.06 × 461.50
  4. Step 4: Simplify right side
    810.85x = 516,446.19
  5. Step 5: Solve for x
    x = 516,446.19/810.85
  6. Step 6: Final answer
    x = 636.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.