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Finding the Fourth Proportional to 837.26, 1,155.28 and 487.88

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Solution

The fourth proportional to 837.26, 1,155.28 and 487.88 is: 673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.26 : 1,155.28 = 487.88 : x
  2. Step 2: Convert to fraction form
    837.26/1,155.28 = 487.88/x
  3. Step 3: Cross multiply
    837.26x = 1,155.28 × 487.88
  4. Step 4: Simplify right side
    837.26x = 563,638.01
  5. Step 5: Solve for x
    x = 563,638.01/837.26
  6. Step 6: Final answer
    x = 673.19

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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.