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Finding the Fourth Proportional to 839.68, 1,160.20 and 810.12

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Solution

The fourth proportional to 839.68, 1,160.20 and 810.12 is: 1,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.68 : 1,160.20 = 810.12 : x
  2. Step 2: Convert to fraction form
    839.68/1,160.20 = 810.12/x
  3. Step 3: Cross multiply
    839.68x = 1,160.20 × 810.12
  4. Step 4: Simplify right side
    839.68x = 939,901.22
  5. Step 5: Solve for x
    x = 939,901.22/839.68
  6. Step 6: Final answer
    x = 1,119.36

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1.5x scale

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.