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Finding the Fourth Proportional to 835.29, 1,154.61 and 659.34

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Solution

The fourth proportional to 835.29, 1,154.61 and 659.34 is: 911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.29 : 1,154.61 = 659.34 : x
  2. Step 2: Convert to fraction form
    835.29/1,154.61 = 659.34/x
  3. Step 3: Cross multiply
    835.29x = 1,154.61 × 659.34
  4. Step 4: Simplify right side
    835.29x = 761,280.56
  5. Step 5: Solve for x
    x = 761,280.56/835.29
  6. Step 6: Final answer
    x = 911.40

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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.