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Finding the Fourth Proportional to 614.90, 847.68 and 459.38

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Solution

The fourth proportional to 614.90, 847.68 and 459.38 is: 633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.90 : 847.68 = 459.38 : x
  2. Step 2: Convert to fraction form
    614.90/847.68 = 459.38/x
  3. Step 3: Cross multiply
    614.90x = 847.68 × 459.38
  4. Step 4: Simplify right side
    614.90x = 389,407.24
  5. Step 5: Solve for x
    x = 389,407.24/614.90
  6. Step 6: Final answer
    x = 633.29

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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.