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Finding the Fourth Proportional to 833.57, 1,150.30 and 460.55

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Solution

The fourth proportional to 833.57, 1,150.30 and 460.55 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.57 : 1,150.30 = 460.55 : x
  2. Step 2: Convert to fraction form
    833.57/1,150.30 = 460.55/x
  3. Step 3: Cross multiply
    833.57x = 1,150.30 × 460.55
  4. Step 4: Simplify right side
    833.57x = 529,770.67
  5. Step 5: Solve for x
    x = 529,770.67/833.57
  6. Step 6: Final answer
    x = 635.54

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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.