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Finding the Fourth Proportional to 762.08, 1,136.57 and 688.27

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Solution

The fourth proportional to 762.08, 1,136.57 and 688.27 is: 1,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.08 : 1,136.57 = 688.27 : x
  2. Step 2: Convert to fraction form
    762.08/1,136.57 = 688.27/x
  3. Step 3: Cross multiply
    762.08x = 1,136.57 × 688.27
  4. Step 4: Simplify right side
    762.08x = 782,267.03
  5. Step 5: Solve for x
    x = 782,267.03/762.08
  6. Step 6: Final answer
    x = 1,026.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.