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Finding the Fourth Proportional to 1,369.24, 2,051.94 and 637.72

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Solution

The fourth proportional to 1,369.24, 2,051.94 and 637.72 is: 955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.24 : 2,051.94 = 637.72 : x
  2. Step 2: Convert to fraction form
    1,369.24/2,051.94 = 637.72/x
  3. Step 3: Cross multiply
    1,369.24x = 2,051.94 × 637.72
  4. Step 4: Simplify right side
    1,369.24x = 1,308,563.18
  5. Step 5: Solve for x
    x = 1,308,563.18/1,369.24
  6. Step 6: Final answer
    x = 955.69

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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.