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Finding the Fourth Proportional to 837.02, 1,255.65 and 259.76

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Solution

The fourth proportional to 837.02, 1,255.65 and 259.76 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.02 : 1,255.65 = 259.76 : x
  2. Step 2: Convert to fraction form
    837.02/1,255.65 = 259.76/x
  3. Step 3: Cross multiply
    837.02x = 1,255.65 × 259.76
  4. Step 4: Simplify right side
    837.02x = 326,167.64
  5. Step 5: Solve for x
    x = 326,167.64/837.02
  6. Step 6: Final answer
    x = 389.68

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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.