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Finding the Fourth Proportional to 1,003.67, 1,384.44 and 654.35

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Solution

The fourth proportional to 1,003.67, 1,384.44 and 654.35 is: 902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.67 : 1,384.44 = 654.35 : x
  2. Step 2: Convert to fraction form
    1,003.67/1,384.44 = 654.35/x
  3. Step 3: Cross multiply
    1,003.67x = 1,384.44 × 654.35
  4. Step 4: Simplify right side
    1,003.67x = 905,908.31
  5. Step 5: Solve for x
    x = 905,908.31/1,003.67
  6. Step 6: Final answer
    x = 902.60

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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.