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Finding the Fourth Proportional to 1,136.22, 1,567.84 and 638.78

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Solution

The fourth proportional to 1,136.22, 1,567.84 and 638.78 is: 881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.22 : 1,567.84 = 638.78 : x
  2. Step 2: Convert to fraction form
    1,136.22/1,567.84 = 638.78/x
  3. Step 3: Cross multiply
    1,136.22x = 1,567.84 × 638.78
  4. Step 4: Simplify right side
    1,136.22x = 1,001,501.64
  5. Step 5: Solve for x
    x = 1,001,501.64/1,136.22
  6. Step 6: Final answer
    x = 881.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.