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Finding the Fourth Proportional to 869.68, 1,191.52 and 838.16

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Solution

The fourth proportional to 869.68, 1,191.52 and 838.16 is: 1,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.68 : 1,191.52 = 838.16 : x
  2. Step 2: Convert to fraction form
    869.68/1,191.52 = 838.16/x
  3. Step 3: Cross multiply
    869.68x = 1,191.52 × 838.16
  4. Step 4: Simplify right side
    869.68x = 998,684.40
  5. Step 5: Solve for x
    x = 998,684.40/869.68
  6. Step 6: Final answer
    x = 1,148.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.