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Finding the Fourth Proportional to 1,035.05, 1,553.34 and 645.63

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Solution

The fourth proportional to 1,035.05, 1,553.34 and 645.63 is: 968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.05 : 1,553.34 = 645.63 : x
  2. Step 2: Convert to fraction form
    1,035.05/1,553.34 = 645.63/x
  3. Step 3: Cross multiply
    1,035.05x = 1,553.34 × 645.63
  4. Step 4: Simplify right side
    1,035.05x = 1,002,882.90
  5. Step 5: Solve for x
    x = 1,002,882.90/1,035.05
  6. Step 6: Final answer
    x = 968.93

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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.