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Finding the Fourth Proportional to 417.33, 622.98 and 379.08

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Solution

The fourth proportional to 417.33, 622.98 and 379.08 is: 565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.33 : 622.98 = 379.08 : x
  2. Step 2: Convert to fraction form
    417.33/622.98 = 379.08/x
  3. Step 3: Cross multiply
    417.33x = 622.98 × 379.08
  4. Step 4: Simplify right side
    417.33x = 236,159.26
  5. Step 5: Solve for x
    x = 236,159.26/417.33
  6. Step 6: Final answer
    x = 565.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.