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Finding the Fourth Proportional to 613.90, 847.38 and 466.90

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Solution

The fourth proportional to 613.90, 847.38 and 466.90 is: 644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.90 : 847.38 = 466.90 : x
  2. Step 2: Convert to fraction form
    613.90/847.38 = 466.90/x
  3. Step 3: Cross multiply
    613.90x = 847.38 × 466.90
  4. Step 4: Simplify right side
    613.90x = 395,641.72
  5. Step 5: Solve for x
    x = 395,641.72/613.90
  6. Step 6: Final answer
    x = 644.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.