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Finding the Fourth Proportional to 666.34, 919.08 and 430.36

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Solution

The fourth proportional to 666.34, 919.08 and 430.36 is: 593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.34 : 919.08 = 430.36 : x
  2. Step 2: Convert to fraction form
    666.34/919.08 = 430.36/x
  3. Step 3: Cross multiply
    666.34x = 919.08 × 430.36
  4. Step 4: Simplify right side
    666.34x = 395,535.27
  5. Step 5: Solve for x
    x = 395,535.27/666.34
  6. Step 6: Final answer
    x = 593.59

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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.