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Finding the Fourth Proportional to 835.80, 1,152.54 and 573.90

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Solution

The fourth proportional to 835.80, 1,152.54 and 573.90 is: 791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.80 : 1,152.54 = 573.90 : x
  2. Step 2: Convert to fraction form
    835.80/1,152.54 = 573.90/x
  3. Step 3: Cross multiply
    835.80x = 1,152.54 × 573.90
  4. Step 4: Simplify right side
    835.80x = 661,442.71
  5. Step 5: Solve for x
    x = 661,442.71/835.80
  6. Step 6: Final answer
    x = 791.39

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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.