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Finding the Fourth Proportional to 663.81, 915.95 and 369.07

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Solution

The fourth proportional to 663.81, 915.95 and 369.07 is: 509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.81 : 915.95 = 369.07 : x
  2. Step 2: Convert to fraction form
    663.81/915.95 = 369.07/x
  3. Step 3: Cross multiply
    663.81x = 915.95 × 369.07
  4. Step 4: Simplify right side
    663.81x = 338,049.67
  5. Step 5: Solve for x
    x = 338,049.67/663.81
  6. Step 6: Final answer
    x = 509.26

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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.