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Finding the Fourth Proportional to 664.76, 917.20 and 416.20

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Solution

The fourth proportional to 664.76, 917.20 and 416.20 is: 574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.76 : 917.20 = 416.20 : x
  2. Step 2: Convert to fraction form
    664.76/917.20 = 416.20/x
  3. Step 3: Cross multiply
    664.76x = 917.20 × 416.20
  4. Step 4: Simplify right side
    664.76x = 381,738.64
  5. Step 5: Solve for x
    x = 381,738.64/664.76
  6. Step 6: Final answer
    x = 574.25

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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.