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Finding the Fourth Proportional to 833.40, 1,149.87 and 538.32

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Solution

The fourth proportional to 833.40, 1,149.87 and 538.32 is: 742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.40 : 1,149.87 = 538.32 : x
  2. Step 2: Convert to fraction form
    833.40/1,149.87 = 538.32/x
  3. Step 3: Cross multiply
    833.40x = 1,149.87 × 538.32
  4. Step 4: Simplify right side
    833.40x = 618,998.02
  5. Step 5: Solve for x
    x = 618,998.02/833.40
  6. Step 6: Final answer
    x = 742.74

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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.