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Finding the Fourth Proportional to 614.60, 920.82 and 289.40

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Solution

The fourth proportional to 614.60, 920.82 and 289.40 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.60 : 920.82 = 289.40 : x
  2. Step 2: Convert to fraction form
    614.60/920.82 = 289.40/x
  3. Step 3: Cross multiply
    614.60x = 920.82 × 289.40
  4. Step 4: Simplify right side
    614.60x = 266,485.31
  5. Step 5: Solve for x
    x = 266,485.31/614.60
  6. Step 6: Final answer
    x = 433.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.