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Finding the Fourth Proportional to 614.13, 847.30 and 381.39

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Solution

The fourth proportional to 614.13, 847.30 and 381.39 is: 526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.13 : 847.30 = 381.39 : x
  2. Step 2: Convert to fraction form
    614.13/847.30 = 381.39/x
  3. Step 3: Cross multiply
    614.13x = 847.30 × 381.39
  4. Step 4: Simplify right side
    614.13x = 323,151.75
  5. Step 5: Solve for x
    x = 323,151.75/614.13
  6. Step 6: Final answer
    x = 526.19

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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.