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Finding the Fourth Proportional to 420.68, 631.08 and 284.06

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Solution

The fourth proportional to 420.68, 631.08 and 284.06 is: 426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.68 : 631.08 = 284.06 : x
  2. Step 2: Convert to fraction form
    420.68/631.08 = 284.06/x
  3. Step 3: Cross multiply
    420.68x = 631.08 × 284.06
  4. Step 4: Simplify right side
    420.68x = 179,261.43
  5. Step 5: Solve for x
    x = 179,261.43/420.68
  6. Step 6: Final answer
    x = 426.13

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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.