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Finding the Fourth Proportional to 1,003.39, 1,384.49 and 688.91

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Solution

The fourth proportional to 1,003.39, 1,384.49 and 688.91 is: 950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.39 : 1,384.49 = 688.91 : x
  2. Step 2: Convert to fraction form
    1,003.39/1,384.49 = 688.91/x
  3. Step 3: Cross multiply
    1,003.39x = 1,384.49 × 688.91
  4. Step 4: Simplify right side
    1,003.39x = 953,783.81
  5. Step 5: Solve for x
    x = 953,783.81/1,003.39
  6. Step 6: Final answer
    x = 950.56

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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.