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Finding the Fourth Proportional to 631, 946.14 and 284.20

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Solution

The fourth proportional to 631, 946.14 and 284.20 is: 426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    631 : 946.14 = 284.20 : x
  2. Step 2: Convert to fraction form
    631/946.14 = 284.20/x
  3. Step 3: Cross multiply
    631x = 946.14 × 284.20
  4. Step 4: Simplify right side
    631x = 268,892.99
  5. Step 5: Solve for x
    x = 268,892.99/631
  6. Step 6: Final answer
    x = 426.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.