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Finding the Fourth Proportional to 762.59, 1,137.32 and 688.77

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Solution

The fourth proportional to 762.59, 1,137.32 and 688.77 is: 1,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.59 : 1,137.32 = 688.77 : x
  2. Step 2: Convert to fraction form
    762.59/1,137.32 = 688.77/x
  3. Step 3: Cross multiply
    762.59x = 1,137.32 × 688.77
  4. Step 4: Simplify right side
    762.59x = 783,348.45
  5. Step 5: Solve for x
    x = 783,348.45/762.59
  6. Step 6: Final answer
    x = 1,027.23

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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.