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Finding the Fourth Proportional to 666.43, 920.09 and 430.50

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Solution

The fourth proportional to 666.43, 920.09 and 430.50 is: 594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.43 : 920.09 = 430.50 : x
  2. Step 2: Convert to fraction form
    666.43/920.09 = 430.50/x
  3. Step 3: Cross multiply
    666.43x = 920.09 × 430.50
  4. Step 4: Simplify right side
    666.43x = 396,098.75
  5. Step 5: Solve for x
    x = 396,098.75/666.43
  6. Step 6: Final answer
    x = 594.36

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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.