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Finding the Fourth Proportional to 835.88, 1,152.34 and 661

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Solution

The fourth proportional to 835.88, 1,152.34 and 661 is: 911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.88 : 1,152.34 = 661 : x
  2. Step 2: Convert to fraction form
    835.88/1,152.34 = 661/x
  3. Step 3: Cross multiply
    835.88x = 1,152.34 × 661
  4. Step 4: Simplify right side
    835.88x = 761,696.74
  5. Step 5: Solve for x
    x = 761,696.74/835.88
  6. Step 6: Final answer
    x = 911.25

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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.