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Finding the Fourth Proportional to 1,035.07, 1,553.12 and 644.97

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Solution

The fourth proportional to 1,035.07, 1,553.12 and 644.97 is: 967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.07 : 1,553.12 = 644.97 : x
  2. Step 2: Convert to fraction form
    1,035.07/1,553.12 = 644.97/x
  3. Step 3: Cross multiply
    1,035.07x = 1,553.12 × 644.97
  4. Step 4: Simplify right side
    1,035.07x = 1,001,717.42
  5. Step 5: Solve for x
    x = 1,001,717.42/1,035.07
  6. Step 6: Final answer
    x = 967.78

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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.