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Finding the Fourth Proportional to 1,367.81, 2,051.85 and 637.59

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Solution

The fourth proportional to 1,367.81, 2,051.85 and 637.59 is: 956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.81 : 2,051.85 = 637.59 : x
  2. Step 2: Convert to fraction form
    1,367.81/2,051.85 = 637.59/x
  3. Step 3: Cross multiply
    1,367.81x = 2,051.85 × 637.59
  4. Step 4: Simplify right side
    1,367.81x = 1,308,239.04
  5. Step 5: Solve for x
    x = 1,308,239.04/1,367.81
  6. Step 6: Final answer
    x = 956.45

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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.