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Finding the Fourth Proportional to 1,003.09, 1,384.86 and 630.39

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Solution

The fourth proportional to 1,003.09, 1,384.86 and 630.39 is: 870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.09 : 1,384.86 = 630.39 : x
  2. Step 2: Convert to fraction form
    1,003.09/1,384.86 = 630.39/x
  3. Step 3: Cross multiply
    1,003.09x = 1,384.86 × 630.39
  4. Step 4: Simplify right side
    1,003.09x = 873,001.90
  5. Step 5: Solve for x
    x = 873,001.90/1,003.09
  6. Step 6: Final answer
    x = 870.31

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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.