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Finding the Fourth Proportional to 666.43, 919.30 and 417.32

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Solution

The fourth proportional to 666.43, 919.30 and 417.32 is: 575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.43 : 919.30 = 417.32 : x
  2. Step 2: Convert to fraction form
    666.43/919.30 = 417.32/x
  3. Step 3: Cross multiply
    666.43x = 919.30 × 417.32
  4. Step 4: Simplify right side
    666.43x = 383,637.89
  5. Step 5: Solve for x
    x = 383,637.89/666.43
  6. Step 6: Final answer
    x = 575.66

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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.