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Finding the Fourth Proportional to 835.89, 1,153.93 and 556.59

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Solution

The fourth proportional to 835.89, 1,153.93 and 556.59 is: 768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.89 : 1,153.93 = 556.59 : x
  2. Step 2: Convert to fraction form
    835.89/1,153.93 = 556.59/x
  3. Step 3: Cross multiply
    835.89x = 1,153.93 × 556.59
  4. Step 4: Simplify right side
    835.89x = 642,265.90
  5. Step 5: Solve for x
    x = 642,265.90/835.89
  6. Step 6: Final answer
    x = 768.36

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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.