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Finding the Fourth Proportional to 610.66, 915.99 and 406.54

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Solution

The fourth proportional to 610.66, 915.99 and 406.54 is: 609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.66 : 915.99 = 406.54 : x
  2. Step 2: Convert to fraction form
    610.66/915.99 = 406.54/x
  3. Step 3: Cross multiply
    610.66x = 915.99 × 406.54
  4. Step 4: Simplify right side
    610.66x = 372,386.57
  5. Step 5: Solve for x
    x = 372,386.57/610.66
  6. Step 6: Final answer
    x = 609.81

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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.