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Finding the Fourth Proportional to 1,493.70, 2,240.55 and 837.60

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Solution

The fourth proportional to 1,493.70, 2,240.55 and 837.60 is: 1,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.70 : 2,240.55 = 837.60 : x
  2. Step 2: Convert to fraction form
    1,493.70/2,240.55 = 837.60/x
  3. Step 3: Cross multiply
    1,493.70x = 2,240.55 × 837.60
  4. Step 4: Simplify right side
    1,493.70x = 1,876,684.68
  5. Step 5: Solve for x
    x = 1,876,684.68/1,493.70
  6. Step 6: Final answer
    x = 1,256.40

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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.