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Finding the Fourth Proportional to 837.47, 1,256.68 and 290.05

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Solution

The fourth proportional to 837.47, 1,256.68 and 290.05 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.47 : 1,256.68 = 290.05 : x
  2. Step 2: Convert to fraction form
    837.47/1,256.68 = 290.05/x
  3. Step 3: Cross multiply
    837.47x = 1,256.68 × 290.05
  4. Step 4: Simplify right side
    837.47x = 364,497.25
  5. Step 5: Solve for x
    x = 364,497.25/837.47
  6. Step 6: Final answer
    x = 435.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.