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Finding the Fourth Proportional to 666.31, 919.65 and 430.09

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Solution

The fourth proportional to 666.31, 919.65 and 430.09 is: 593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.31 : 919.65 = 430.09 : x
  2. Step 2: Convert to fraction form
    666.31/919.65 = 430.09/x
  3. Step 3: Cross multiply
    666.31x = 919.65 × 430.09
  4. Step 4: Simplify right side
    666.31x = 395,532.27
  5. Step 5: Solve for x
    x = 395,532.27/666.31
  6. Step 6: Final answer
    x = 593.62

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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.