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Finding the Fourth Proportional to 1,003.09, 1,384.79 and 625.09

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Solution

The fourth proportional to 1,003.09, 1,384.79 and 625.09 is: 862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.09 : 1,384.79 = 625.09 : x
  2. Step 2: Convert to fraction form
    1,003.09/1,384.79 = 625.09/x
  3. Step 3: Cross multiply
    1,003.09x = 1,384.79 × 625.09
  4. Step 4: Simplify right side
    1,003.09x = 865,621.57
  5. Step 5: Solve for x
    x = 865,621.57/1,003.09
  6. Step 6: Final answer
    x = 862.96

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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.