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Finding the Fourth Proportional to 697.50, 1,044.63 and 552.78

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Solution

The fourth proportional to 697.50, 1,044.63 and 552.78 is: 827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 1,044.63 = 552.78 : x
  2. Step 2: Convert to fraction form
    697.50/1,044.63 = 552.78/x
  3. Step 3: Cross multiply
    697.50x = 1,044.63 × 552.78
  4. Step 4: Simplify right side
    697.50x = 577,450.57
  5. Step 5: Solve for x
    x = 577,450.57/697.50
  6. Step 6: Final answer
    x = 827.89

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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.