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Finding the Fourth Proportional to 506.02, 697.92 and 381.70

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Solution

The fourth proportional to 506.02, 697.92 and 381.70 is: 526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.02 : 697.92 = 381.70 : x
  2. Step 2: Convert to fraction form
    506.02/697.92 = 381.70/x
  3. Step 3: Cross multiply
    506.02x = 697.92 × 381.70
  4. Step 4: Simplify right side
    506.02x = 266,396.06
  5. Step 5: Solve for x
    x = 266,396.06/506.02
  6. Step 6: Final answer
    x = 526.45

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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.