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Finding the Fourth Proportional to 746.66, 1,119.96 and 259.82

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Solution

The fourth proportional to 746.66, 1,119.96 and 259.82 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.66 : 1,119.96 = 259.82 : x
  2. Step 2: Convert to fraction form
    746.66/1,119.96 = 259.82/x
  3. Step 3: Cross multiply
    746.66x = 1,119.96 × 259.82
  4. Step 4: Simplify right side
    746.66x = 290,988.01
  5. Step 5: Solve for x
    x = 290,988.01/746.66
  6. Step 6: Final answer
    x = 389.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.