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Finding the Fourth Proportional to 835.60, 1,256.10 and 716.80

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Solution

The fourth proportional to 835.60, 1,256.10 and 716.80 is: 1,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.60 : 1,256.10 = 716.80 : x
  2. Step 2: Convert to fraction form
    835.60/1,256.10 = 716.80/x
  3. Step 3: Cross multiply
    835.60x = 1,256.10 × 716.80
  4. Step 4: Simplify right side
    835.60x = 900,372.48
  5. Step 5: Solve for x
    x = 900,372.48/835.60
  6. Step 6: Final answer
    x = 1,077.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.