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Finding the Fourth Proportional to 614.74, 847.70 and 428.14

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Solution

The fourth proportional to 614.74, 847.70 and 428.14 is: 590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.74 : 847.70 = 428.14 : x
  2. Step 2: Convert to fraction form
    614.74/847.70 = 428.14/x
  3. Step 3: Cross multiply
    614.74x = 847.70 × 428.14
  4. Step 4: Simplify right side
    614.74x = 362,930.04
  5. Step 5: Solve for x
    x = 362,930.04/614.74
  6. Step 6: Final answer
    x = 590.38

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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.