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Finding the Fourth Proportional to 614.33, 920.77 and 289.02

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Solution

The fourth proportional to 614.33, 920.77 and 289.02 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.33 : 920.77 = 289.02 : x
  2. Step 2: Convert to fraction form
    614.33/920.77 = 289.02/x
  3. Step 3: Cross multiply
    614.33x = 920.77 × 289.02
  4. Step 4: Simplify right side
    614.33x = 266,120.22
  5. Step 5: Solve for x
    x = 266,120.22/614.33
  6. Step 6: Final answer
    x = 433.19

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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.