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Finding the Fourth Proportional to 664.09, 915.81 and 506.45

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Solution

The fourth proportional to 664.09, 915.81 and 506.45 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 915.81 = 506.45 : x
  2. Step 2: Convert to fraction form
    664.09/915.81 = 506.45/x
  3. Step 3: Cross multiply
    664.09x = 915.81 × 506.45
  4. Step 4: Simplify right side
    664.09x = 463,807.40
  5. Step 5: Solve for x
    x = 463,807.40/664.09
  6. Step 6: Final answer
    x = 698.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.