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Finding the Fourth Proportional to 746.41, 1,119.88 and 610.33

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Solution

The fourth proportional to 746.41, 1,119.88 and 610.33 is: 915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.41 : 1,119.88 = 610.33 : x
  2. Step 2: Convert to fraction form
    746.41/1,119.88 = 610.33/x
  3. Step 3: Cross multiply
    746.41x = 1,119.88 × 610.33
  4. Step 4: Simplify right side
    746.41x = 683,487.71
  5. Step 5: Solve for x
    x = 683,487.71/746.41
  6. Step 6: Final answer
    x = 915.71

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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.