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Finding the Fourth Proportional to 1,002.49, 1,384.77 and 806.74

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Solution

The fourth proportional to 1,002.49, 1,384.77 and 806.74 is: 1,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.49 : 1,384.77 = 806.74 : x
  2. Step 2: Convert to fraction form
    1,002.49/1,384.77 = 806.74/x
  3. Step 3: Cross multiply
    1,002.49x = 1,384.77 × 806.74
  4. Step 4: Simplify right side
    1,002.49x = 1,117,149.35
  5. Step 5: Solve for x
    x = 1,117,149.35/1,002.49
  6. Step 6: Final answer
    x = 1,114.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.