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Finding the Fourth Proportional to 665.06, 917.80 and 416.30

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Solution

The fourth proportional to 665.06, 917.80 and 416.30 is: 574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.06 : 917.80 = 416.30 : x
  2. Step 2: Convert to fraction form
    665.06/917.80 = 416.30/x
  3. Step 3: Cross multiply
    665.06x = 917.80 × 416.30
  4. Step 4: Simplify right side
    665.06x = 382,080.14
  5. Step 5: Solve for x
    x = 382,080.14/665.06
  6. Step 6: Final answer
    x = 574.50

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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.