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Finding the Fourth Proportional to 833.64, 1,149.68 and 538.60

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Solution

The fourth proportional to 833.64, 1,149.68 and 538.60 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.64 : 1,149.68 = 538.60 : x
  2. Step 2: Convert to fraction form
    833.64/1,149.68 = 538.60/x
  3. Step 3: Cross multiply
    833.64x = 1,149.68 × 538.60
  4. Step 4: Simplify right side
    833.64x = 619,212.08
  5. Step 5: Solve for x
    x = 619,212.08/833.64
  6. Step 6: Final answer
    x = 742.78

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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.