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Finding the Fourth Proportional to 2,430.27, 3,644.87 and 698.49

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Solution

The fourth proportional to 2,430.27, 3,644.87 and 698.49 is: 1,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.27 : 3,644.87 = 698.49 : x
  2. Step 2: Convert to fraction form
    2,430.27/3,644.87 = 698.49/x
  3. Step 3: Cross multiply
    2,430.27x = 3,644.87 × 698.49
  4. Step 4: Simplify right side
    2,430.27x = 2,545,901.75
  5. Step 5: Solve for x
    x = 2,545,901.75/2,430.27
  6. Step 6: Final answer
    x = 1,047.58

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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.