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Finding the Fourth Proportional to 835.68, 1,153.08 and 573.60

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Solution

The fourth proportional to 835.68, 1,153.08 and 573.60 is: 791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.68 : 1,153.08 = 573.60 : x
  2. Step 2: Convert to fraction form
    835.68/1,153.08 = 573.60/x
  3. Step 3: Cross multiply
    835.68x = 1,153.08 × 573.60
  4. Step 4: Simplify right side
    835.68x = 661,406.69
  5. Step 5: Solve for x
    x = 661,406.69/835.68
  6. Step 6: Final answer
    x = 791.46

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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.