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Finding the Fourth Proportional to 665.10, 917.78 and 416.46

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Solution

The fourth proportional to 665.10, 917.78 and 416.46 is: 574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.10 : 917.78 = 416.46 : x
  2. Step 2: Convert to fraction form
    665.10/917.78 = 416.46/x
  3. Step 3: Cross multiply
    665.10x = 917.78 × 416.46
  4. Step 4: Simplify right side
    665.10x = 382,218.66
  5. Step 5: Solve for x
    x = 382,218.66/665.10
  6. Step 6: Final answer
    x = 574.68

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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.