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Finding the Fourth Proportional to 835.42, 1,150.78 and 638.60

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Solution

The fourth proportional to 835.42, 1,150.78 and 638.60 is: 879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.42 : 1,150.78 = 638.60 : x
  2. Step 2: Convert to fraction form
    835.42/1,150.78 = 638.60/x
  3. Step 3: Cross multiply
    835.42x = 1,150.78 × 638.60
  4. Step 4: Simplify right side
    835.42x = 734,888.11
  5. Step 5: Solve for x
    x = 734,888.11/835.42
  6. Step 6: Final answer
    x = 879.66

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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.