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Finding the Fourth Proportional to 1,035.68, 1,553.60 and 305.36

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Solution

The fourth proportional to 1,035.68, 1,553.60 and 305.36 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.68 : 1,553.60 = 305.36 : x
  2. Step 2: Convert to fraction form
    1,035.68/1,553.60 = 305.36/x
  3. Step 3: Cross multiply
    1,035.68x = 1,553.60 × 305.36
  4. Step 4: Simplify right side
    1,035.68x = 474,407.30
  5. Step 5: Solve for x
    x = 474,407.30/1,035.68
  6. Step 6: Final answer
    x = 458.06

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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.