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Finding the Fourth Proportional to 835.44, 1,151.52 and 686.40

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Solution

The fourth proportional to 835.44, 1,151.52 and 686.40 is: 946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.44 : 1,151.52 = 686.40 : x
  2. Step 2: Convert to fraction form
    835.44/1,151.52 = 686.40/x
  3. Step 3: Cross multiply
    835.44x = 1,151.52 × 686.40
  4. Step 4: Simplify right side
    835.44x = 790,403.33
  5. Step 5: Solve for x
    x = 790,403.33/835.44
  6. Step 6: Final answer
    x = 946.09

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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.