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Finding the Fourth Proportional to 461.34, 690.74 and 417.30

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Solution

The fourth proportional to 461.34, 690.74 and 417.30 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 690.74 = 417.30 : x
  2. Step 2: Convert to fraction form
    461.34/690.74 = 417.30/x
  3. Step 3: Cross multiply
    461.34x = 690.74 × 417.30
  4. Step 4: Simplify right side
    461.34x = 288,245.80
  5. Step 5: Solve for x
    x = 288,245.80/461.34
  6. Step 6: Final answer
    x = 624.80

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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.