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Finding the Fourth Proportional to 1,035.35, 1,553.04 and 487.37

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Solution

The fourth proportional to 1,035.35, 1,553.04 and 487.37 is: 731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.35 : 1,553.04 = 487.37 : x
  2. Step 2: Convert to fraction form
    1,035.35/1,553.04 = 487.37/x
  3. Step 3: Cross multiply
    1,035.35x = 1,553.04 × 487.37
  4. Step 4: Simplify right side
    1,035.35x = 756,905.10
  5. Step 5: Solve for x
    x = 756,905.10/1,035.35
  6. Step 6: Final answer
    x = 731.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.