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Finding the Fourth Proportional to 663.06, 915.90 and 506.31

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Solution

The fourth proportional to 663.06, 915.90 and 506.31 is: 699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.06 : 915.90 = 506.31 : x
  2. Step 2: Convert to fraction form
    663.06/915.90 = 506.31/x
  3. Step 3: Cross multiply
    663.06x = 915.90 × 506.31
  4. Step 4: Simplify right side
    663.06x = 463,729.33
  5. Step 5: Solve for x
    x = 463,729.33/663.06
  6. Step 6: Final answer
    x = 699.38

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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.