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Finding the Fourth Proportional to 614.64, 847.95 and 428.28

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Solution

The fourth proportional to 614.64, 847.95 and 428.28 is: 590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.64 : 847.95 = 428.28 : x
  2. Step 2: Convert to fraction form
    614.64/847.95 = 428.28/x
  3. Step 3: Cross multiply
    614.64x = 847.95 × 428.28
  4. Step 4: Simplify right side
    614.64x = 363,160.03
  5. Step 5: Solve for x
    x = 363,160.03/614.64
  6. Step 6: Final answer
    x = 590.85

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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.