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Finding the Fourth Proportional to 663.81, 915.98 and 369.04

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Solution

The fourth proportional to 663.81, 915.98 and 369.04 is: 509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.81 : 915.98 = 369.04 : x
  2. Step 2: Convert to fraction form
    663.81/915.98 = 369.04/x
  3. Step 3: Cross multiply
    663.81x = 915.98 × 369.04
  4. Step 4: Simplify right side
    663.81x = 338,033.26
  5. Step 5: Solve for x
    x = 338,033.26/663.81
  6. Step 6: Final answer
    x = 509.23

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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.