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Finding the Fourth Proportional to 839.02, 1,256.10 and 677.02

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Solution

The fourth proportional to 839.02, 1,256.10 and 677.02 is: 1,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.02 : 1,256.10 = 677.02 : x
  2. Step 2: Convert to fraction form
    839.02/1,256.10 = 677.02/x
  3. Step 3: Cross multiply
    839.02x = 1,256.10 × 677.02
  4. Step 4: Simplify right side
    839.02x = 850,404.82
  5. Step 5: Solve for x
    x = 850,404.82/839.02
  6. Step 6: Final answer
    x = 1,013.57

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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.