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Finding the Fourth Proportional to 869.36, 1,196.52 and 830.48

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Solution

The fourth proportional to 869.36, 1,196.52 and 830.48 is: 1,143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.36 : 1,196.52 = 830.48 : x
  2. Step 2: Convert to fraction form
    869.36/1,196.52 = 830.48/x
  3. Step 3: Cross multiply
    869.36x = 1,196.52 × 830.48
  4. Step 4: Simplify right side
    869.36x = 993,685.93
  5. Step 5: Solve for x
    x = 993,685.93/869.36
  6. Step 6: Final answer
    x = 1,143.01

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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.