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Finding the Fourth Proportional to 762, 1,137.54 and 645.66

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Solution

The fourth proportional to 762, 1,137.54 and 645.66 is: 963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762 : 1,137.54 = 645.66 : x
  2. Step 2: Convert to fraction form
    762/1,137.54 = 645.66/x
  3. Step 3: Cross multiply
    762x = 1,137.54 × 645.66
  4. Step 4: Simplify right side
    762x = 734,464.08
  5. Step 5: Solve for x
    x = 734,464.08/762
  6. Step 6: Final answer
    x = 963.86

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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.