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Finding the Fourth Proportional to 762.41, 1,135.80 and 734.52

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Solution

The fourth proportional to 762.41, 1,135.80 and 734.52 is: 1,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.41 : 1,135.80 = 734.52 : x
  2. Step 2: Convert to fraction form
    762.41/1,135.80 = 734.52/x
  3. Step 3: Cross multiply
    762.41x = 1,135.80 × 734.52
  4. Step 4: Simplify right side
    762.41x = 834,267.82
  5. Step 5: Solve for x
    x = 834,267.82/762.41
  6. Step 6: Final answer
    x = 1,094.25

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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.