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Finding the Fourth Proportional to 461.85, 633.76 and 420.08

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Solution

The fourth proportional to 461.85, 633.76 and 420.08 is: 576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.85 : 633.76 = 420.08 : x
  2. Step 2: Convert to fraction form
    461.85/633.76 = 420.08/x
  3. Step 3: Cross multiply
    461.85x = 633.76 × 420.08
  4. Step 4: Simplify right side
    461.85x = 266,232.54
  5. Step 5: Solve for x
    x = 266,232.54/461.85
  6. Step 6: Final answer
    x = 576.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.