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Finding the Fourth Proportional to 614.30, 920.77 and 431.64

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Solution

The fourth proportional to 614.30, 920.77 and 431.64 is: 646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.30 : 920.77 = 431.64 : x
  2. Step 2: Convert to fraction form
    614.30/920.77 = 431.64/x
  3. Step 3: Cross multiply
    614.30x = 920.77 × 431.64
  4. Step 4: Simplify right side
    614.30x = 397,440.08
  5. Step 5: Solve for x
    x = 397,440.08/614.30
  6. Step 6: Final answer
    x = 646.99

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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.