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Finding the Fourth Proportional to 762.54, 1,134 and 738.24

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Solution

The fourth proportional to 762.54, 1,134 and 738.24 is: 1,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.54 : 1,134 = 738.24 : x
  2. Step 2: Convert to fraction form
    762.54/1,134 = 738.24/x
  3. Step 3: Cross multiply
    762.54x = 1,134 × 738.24
  4. Step 4: Simplify right side
    762.54x = 837,164.16
  5. Step 5: Solve for x
    x = 837,164.16/762.54
  6. Step 6: Final answer
    x = 1,097.86

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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.