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Finding the Fourth Proportional to 671.54, 926.77 and 409.60

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Solution

The fourth proportional to 671.54, 926.77 and 409.60 is: 565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.54 : 926.77 = 409.60 : x
  2. Step 2: Convert to fraction form
    671.54/926.77 = 409.60/x
  3. Step 3: Cross multiply
    671.54x = 926.77 × 409.60
  4. Step 4: Simplify right side
    671.54x = 379,601.65
  5. Step 5: Solve for x
    x = 379,601.65/671.54
  6. Step 6: Final answer
    x = 565.27

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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.