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Finding the Fourth Proportional to 837.18, 1,255.77 and 404.03

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Solution

The fourth proportional to 837.18, 1,255.77 and 404.03 is: 606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.18 : 1,255.77 = 404.03 : x
  2. Step 2: Convert to fraction form
    837.18/1,255.77 = 404.03/x
  3. Step 3: Cross multiply
    837.18x = 1,255.77 × 404.03
  4. Step 4: Simplify right side
    837.18x = 507,368.75
  5. Step 5: Solve for x
    x = 507,368.75/837.18
  6. Step 6: Final answer
    x = 606.05

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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.