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Finding the Fourth Proportional to 835.76, 1,252.52 and 605.42

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Solution

The fourth proportional to 835.76, 1,252.52 and 605.42 is: 907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.76 : 1,252.52 = 605.42 : x
  2. Step 2: Convert to fraction form
    835.76/1,252.52 = 605.42/x
  3. Step 3: Cross multiply
    835.76x = 1,252.52 × 605.42
  4. Step 4: Simplify right side
    835.76x = 758,300.66
  5. Step 5: Solve for x
    x = 758,300.66/835.76
  6. Step 6: Final answer
    x = 907.32

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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.