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Finding the Fourth Proportional to 1,035.34, 1,553.02 and 255.34

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Solution

The fourth proportional to 1,035.34, 1,553.02 and 255.34 is: 383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.34 : 1,553.02 = 255.34 : x
  2. Step 2: Convert to fraction form
    1,035.34/1,553.02 = 255.34/x
  3. Step 3: Cross multiply
    1,035.34x = 1,553.02 × 255.34
  4. Step 4: Simplify right side
    1,035.34x = 396,548.13
  5. Step 5: Solve for x
    x = 396,548.13/1,035.34
  6. Step 6: Final answer
    x = 383.01

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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.