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Finding the Fourth Proportional to 410.70, 612.68 and 381.24

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Solution

The fourth proportional to 410.70, 612.68 and 381.24 is: 568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.70 : 612.68 = 381.24 : x
  2. Step 2: Convert to fraction form
    410.70/612.68 = 381.24/x
  3. Step 3: Cross multiply
    410.70x = 612.68 × 381.24
  4. Step 4: Simplify right side
    410.70x = 233,578.36
  5. Step 5: Solve for x
    x = 233,578.36/410.70
  6. Step 6: Final answer
    x = 568.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.