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Finding the Fourth Proportional to 617.38, 851.71 and 412.80

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Solution

The fourth proportional to 617.38, 851.71 and 412.80 is: 569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.38 : 851.71 = 412.80 : x
  2. Step 2: Convert to fraction form
    617.38/851.71 = 412.80/x
  3. Step 3: Cross multiply
    617.38x = 851.71 × 412.80
  4. Step 4: Simplify right side
    617.38x = 351,585.89
  5. Step 5: Solve for x
    x = 351,585.89/617.38
  6. Step 6: Final answer
    x = 569.48

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1.5x scale

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.