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Finding the Fourth Proportional to 614.85, 847.60 and 467.23

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Solution

The fourth proportional to 614.85, 847.60 and 467.23 is: 644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.85 : 847.60 = 467.23 : x
  2. Step 2: Convert to fraction form
    614.85/847.60 = 467.23/x
  3. Step 3: Cross multiply
    614.85x = 847.60 × 467.23
  4. Step 4: Simplify right side
    614.85x = 396,021.81
  5. Step 5: Solve for x
    x = 396,021.81/614.85
  6. Step 6: Final answer
    x = 644.10

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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.