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Finding the Fourth Proportional to 419.61, 630.86 and 334.02

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Solution

The fourth proportional to 419.61, 630.86 and 334.02 is: 502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.61 : 630.86 = 334.02 : x
  2. Step 2: Convert to fraction form
    419.61/630.86 = 334.02/x
  3. Step 3: Cross multiply
    419.61x = 630.86 × 334.02
  4. Step 4: Simplify right side
    419.61x = 210,720.55
  5. Step 5: Solve for x
    x = 210,720.55/419.61
  6. Step 6: Final answer
    x = 502.18

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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.